How does one go about calculating a logarithm?

QUESTION POSTED AT 09/10/2019 - 11:05 PM

Answered by answersmine AT 09/10/2019 - 11:05 PM

Well logarithm is basically the inverse of exponentiation.
If you want to know how to calculate it in a calculator first you enter the number that you want in there. Then you press the inverse button and then lastly you press the botton that looks like this 10^3
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Related questions

Which calculation should be completed first to solve this story problem? Allister bought some sheet music. He bought 6 songs for $0.99 each and 1 book for $16.99. He paid $1.38 in sales tax. He gave the cashier $50. How much change should Allister get? A. total cost of all the purchases B. total cost of 6 songs C. sum of the cost of 1 song, the book, and the tax D. the change

A. total cost of all the purchases

You can't calculate the sales tax on the sheet music or the change for $50 he would have received (which requires subtracting the total cost from $50) until you know how much the sheet music cost total.

 The B) and C) options aren't  relevant to the problem. You're trying to find the amount of change he gets after paying the total cost for all the sheet music + the tax on that.

ANSWERED AT 17/10/2019 - 09:13 AM


QUESTION POSTED AT 17/10/2019 - 09:13 AM

Write each equation in logarithmic form

5³ = 125

125 =5³

㏒₅125 = 5³

ANSWERED AT 17/10/2019 - 08:27 AM


QUESTION POSTED AT 17/10/2019 - 08:27 AM

The function f(x) = 396(3)x represents the growth of a dragonfly population every year in a remote swamp. Pierre wants to manipulate the formula to an equivalent form that calculates every month, not every year. Which function is correct for Pierre's purposes?

Answer:

The require function is f(x)= 396(\frac{7}{6})^{12x} represents the growth of a dragonfly in every months.

Step-by-step explanation:

Given : The function f(x) = 396(3)^x represents the growth of a dragonfly population every year in a remote swamp.

To find : The function represent the growth every month.

Solution :

Let x represents the number of years.

In 1 year there is 12 months

In x years there is 12x months  

The given function is in exponential form y=a(1+r)^x

where, a is initial value,  r is growth rate , (1+r) is growth rate factor

Comparing the given equation with general form

f(x) = 396(3)^x

y = 396(1+2)^x growth of dragonfly every year

To convert into months time is multiply with 12 and growth rate is divisible by 12.

y = 396(1+\frac{2}{12})^{12x}

y = 396(\frac{7}{6})^{12x}

Therefore, The require function is f(x)= 396(\frac{7}{6})^{12x} represents the growth of a dragonfly in every months.

ANSWERED AT 17/10/2019 - 07:52 AM


QUESTION POSTED AT 17/10/2019 - 07:52 AM

Determine which of the following logarithms is expanded correctly.

It's C). ㏒(2xy⁻³) =㏒2 + ㏒x -3㏒y

ANSWERED AT 17/10/2019 - 07:37 AM


QUESTION POSTED AT 17/10/2019 - 07:37 AM

A number cube with sides labeled 1 through 6 is rolled two times, and the sum of the numbers that end face up is calculated. What is the probability that the sum of the numbers is 3?

Desirable outcomes are 1,2 or 2,1

total outcomes are 6*6=36

so, P=2/36=1/18

ANSWERED AT 17/10/2019 - 07:15 AM


QUESTION POSTED AT 17/10/2019 - 07:15 AM

Calculate the percentage change (increase or decease) that occurs when: a) 25 becomes 60 b) 66 becomes 30 Please show workings out and/or explain.

The first step is to find the CHANGE. This is done by subtracting the two values and taking the absolute value. Next step is to find the ratio of the change to the original and multiplying by 100% to make it a percentage.

So;

a)  change = Ι60 - 25Ι = 35.

     ratio of change to original = 35:25,

    multiplying by 100% will give 35/25 × 100% = 140%.

    Hence it is a 140% INCREASE.

b) change = | 30 - 66 | = 36

    the ratio is 36:66

multiplying by 100% = 36/66 × 100% = 0.545454... ×100% ≈ 54.5%

   Hence it is a 54.5% DECREASE.


Helpful?

     



ANSWERED AT 17/10/2019 - 07:02 AM


QUESTION POSTED AT 17/10/2019 - 07:02 AM

Diana can use the equation y = 7x to calculate her pay, where y represents the amount of pay, and x represents the number of hours worked. How many hours did Diana work if she was paid $45.50?

Well from the equation $45.50 represents y (in this case) and now you're finding x.

      y = 7x

      45.50 = 7x    Divide both sides of the equation by 7 to find x.

      45.50/7 = 7x/7

      6.50 = x

Hence she worked 6.5 hours (or 6 hours 30 minutes.)

HELPFUL?


ANSWERED AT 17/10/2019 - 07:01 AM


QUESTION POSTED AT 17/10/2019 - 07:01 AM

Stephen is 5'7". Him and his class mates want to know how many Stephens it would take to get to The Sun (4.8 billion feet from the Earth) Calculate how many Stephens it would take to reach The Sun

5'7" is Stephen's height

4.8 billion is the distance to the sun.

4.8 billion ft / 5'7" = 859,701,493 ft

ANSWERED AT 17/10/2019 - 05:38 AM


QUESTION POSTED AT 17/10/2019 - 05:38 AM

Darren is 30 and is debating whether he should start investing $100 a month now for retirement at 60 or if he should wait until he is more established at 40 and invest $200 a month then. If the investment earns approximately 10% p.a. compounded monthly, what would you recommend for saving the largest amount? Provide supporting evidence for your decision and indicate the values for any parameters used in calculations.

Hi there
The formula of the future value of annuity due because you invest now means you invest at the beginning of each month

Fv=pmt [(1+r/k)^(kn)-1)÷(r/k)]×(1+r/k)
The first option you invest 100 at the beginning of each month for 30 years (60-30) therefore
Fv=100×((((1+0.1÷12)^(12×30)
−1)÷(0.1÷12))×(1+0.1÷12))
=227,932.53...is higher

The second option you invest 200 at the beginning of each month for 20 years (60-40) therefore
Fv=200×((((1+0.1÷12)^(12×20)
−1)÷(0.1÷12))×(1+0.1÷12))
=153,139.38...is lower

So I would choose the first option which is invest 100 due to higher amount

Hope it helps

ANSWERED AT 17/10/2019 - 05:11 AM


QUESTION POSTED AT 17/10/2019 - 05:11 AM

Calculate the final amount of a 20-year, long term savings plan if a payment of $2000 is made at the end of every year. Interest is 8.5% compounded annually.

Hi there
The formula of the future value of annuity ordinary is
Fv=pmt [(1+r)^(n)-1)÷r]
Fv future value?
PMT payment per year 2000
R interest rate 0.085
N time 20 years

Fv=2,000×(((1+0.085)^(20)−1)
÷(0.085))=96,754.03

Hope it helps

ANSWERED AT 17/10/2019 - 05:10 AM


QUESTION POSTED AT 17/10/2019 - 05:10 AM

Six squash balls are packaged in a cylindrical container. Calculate the volume of air inside the container in terms of the radius r (Hint: volume of container minus volume of 6 squash balls

In order to fit 6 squash balls into a cylinder container, the radius r has to be the same for the ball and for the base of the cylinder, and the height h of the container must be equal to 6 diameters d or 12 radii of the ball. Volume of the ball and the container is: 

Vb=(4/3)r³π, Vc=r²πh, h is the height of the cylindrical container.
h=12r.

So now the volume of the cylinder is: 
Vc=r²π*12r=12r³π.

There are 6 balls so their total volume is:
6*Vb=6*(4/3)*r³*π=(24/3)*r³π=8r³π.

Now we subtract the volume of 6 balls from the volume of the cylinder to get the volume of air Va inside the cylinder:

Va=Vc-6*Vb=12r³π-8r³π=4r³π.

So the volume of air inside of the cylinder is Va=4r³π

ANSWERED AT 17/10/2019 - 05:02 AM


QUESTION POSTED AT 17/10/2019 - 05:02 AM

How do you put Logs in on the calculator

Ygjstefcygycygvygvgcykcguyybddrsev

ANSWERED AT 17/10/2019 - 04:57 AM


QUESTION POSTED AT 17/10/2019 - 04:57 AM

Log22 rewrite as a quotient of two base 3 logarithms

Log 22 =  (log 22/log 10)_{base=3}

ANSWERED AT 17/10/2019 - 04:53 AM


QUESTION POSTED AT 17/10/2019 - 04:53 AM

Student scientific calculator 3×10^5 is displayed as 3 EE 5 in that case how was the panic of 80,000 and 5000 be displayed on The students calculator

Hello,
We know that
3×10^5= 3 EE 5
Change 80,000 to the scientific notation
8×10^4
Doing the same like 3×10^5, I can get 8 EE 4
Change 5000 to the scientific notation
5×10^3
Then it will appeared as 5 EE 3. Hope it help!

ANSWERED AT 17/10/2019 - 04:52 AM


QUESTION POSTED AT 17/10/2019 - 04:52 AM

The following table shows the number of hours some high school students in two towns spend watching TV each week: Town A 16 25 42 38 17 32 42 10 17 Town B 8 0 0 17 30 8 21 9 19 Part A: Create a five-number summary and calculate the interquartile range for the two sets of data. (6 points) Part B: Are the box plots symmetric? Justify your answer. (4 points)

The first step is to put the data in order, as shown in the diagram below

Five summaries of Town A
Lowest Value = 10
Lower Quartile, Q_{1} = 16.5 (The value falls between 16 and 17)
Median, Q_{2} = 25
Upper Quartile, Q_{3} = 40 (The middle value between 38 and 42)
Highest value = 42

Five summaries of Town B
Lowest value = 0
Lower Quartile, Q_{1} = 4 (The middle value between 0 and 8)
Median, Q_{2} = 9
Upper Quartile, Q_{3} = 20 (The middle value between 19 and 21)
Highest Value = 30

The box plot for two towns is shown in the diagram below. 
Town A box plot is not symmetrical, it's tailing on the left
Town B box plot is not symmetrical, it's tailing on the right

ANSWERED AT 17/10/2019 - 04:52 AM


QUESTION POSTED AT 17/10/2019 - 04:52 AM

The table shows how much a store charges for certain numbers of pencils. Number of pencils (p) Cost (c) 4 $0.72 7 $1.26 12 $2.16 Based on the table, which equation could be used to calculate the cost, c, of any number of pencils, p? A c = 0.09p B c = 0.18p C c = 0.54p D c = 0.72p ASAP SHOW YOUR WORK

Find the rate of change, (y2-y1)/(x2-x1), from the data given...

(2.16-1.26)/(12-7)=0.18

(1.26-0.72)/(7-4)=0.18

Since the rate is constant, this is a linear equation of the form y=mx+b.  Furthermore, since 0 pencils cost 0, b=0, so the cost of the pencils is simply the number of pencils times 18 cents...

c(p)=0.18p  (cost with respect to pencils is 0.18 times the number of pencils)

ANSWERED AT 17/10/2019 - 04:49 AM


QUESTION POSTED AT 17/10/2019 - 04:49 AM

John calculated the discriminant of f(x) = 5x² + 3x + 1 to be a negative number (-11). Which of the following is correct? A. there are no real roots B. there are 2 real roots C. there is one real root D. there are 2 negative roots

The discriminant is a parameter of an object calculated as an aid to its solution. in a quadratic expression, discriminant is given by (b^2-4ac), when the discriminant is a negative number it implies that:
A. There are no real roots

ANSWERED AT 17/10/2019 - 04:04 AM


QUESTION POSTED AT 17/10/2019 - 04:04 AM

A hot air balloon descends at a rate of 320 feet per minute for 3 minutes. Use integers to calculate and represent the balloon's total change in altitude. (2 points)

That is
distance=rate times time
rate=320ft/m
time=3m


distance=320ft/m times 3m
distance=960ft

the total change is 960ft

ANSWERED AT 17/10/2019 - 03:33 AM


QUESTION POSTED AT 17/10/2019 - 03:33 AM

Calculate the effective annual interest rate if the annual interest rate, i, is 9%. A. 0.0855 B. 0.0900 C. 0.0938 D. 0.0959

Hi there

(1+0.09÷12)^(12)−1
=0.0938

Hope it helps

ANSWERED AT 17/10/2019 - 03:23 AM


QUESTION POSTED AT 17/10/2019 - 03:23 AM

Calculate the volume of the regular triangular pyramid with the base edges of length 9 inches and a height of length 8 inches.

So, the prism looks more or less like the picture below

now, notice the purple base, is a triangle with all sides of 9

\bf \textit{area of an equalateral triangle}\\\\
A=\cfrac{s^2\sqrt{3}}{4}\qquad 
\begin{cases}
s=\textit{length of one side}\\
----------\\
s=9
\end{cases}\implies A=\cfrac{9^2\sqrt{3}}{4} \\\\
-----------------------------\\\\
\textit{volume of a pyramid}\\\\
V=\cfrac{1}{3}Bh\qquad 
\begin{cases}
B=\textit{area of the base}\\
h=height\\
----------\\
B=\frac{81\sqrt{3}}{4}\\
h=8
\end{cases}\implies V=\cfrac{1}{3}\cdot \cfrac{81\sqrt{3}}{4}\cdot 8

ANSWERED AT 17/10/2019 - 03:21 AM


QUESTION POSTED AT 17/10/2019 - 03:21 AM