425 Answered Questions for the topic Logarithms

09/16/19

#### Solve the exponential equation. Express the solution as an exact answer in terms of natural logarithms

𝑒9−5𝑥=6981I got the decimal approximation of the answer but I have to enter the log version into webwork as well and because it is so specific about how the answer must be formatted I cannot seem...
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03/10/19

#### How do I approximate logarithms?

Approximate the logirithm logb75 using properties of logarithms, given logb2=0.3562, and logb3=0.5646, and logb5=0.8271.

02/18/19

#### Log rule confusion during : Log = 1 + Log

Log5(x2) = 1 + Log5(6)
Uses rule a=logb(ba) to get log5(x2) = log5(30)
x2= 30
x = square of 30
There is nothing online about “1 + logarithms” and when there is they expotentate. Why is this rule...
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09/21/18

#### evaluate the following in terms of x and y

If log p=x and log q=y, evaluate the following in terms of x and y:
#1) (log p^-4)/(loq q^-5) = ?
#2) (log p^5)^−3 = ?

08/06/18

#### Question about rewriting to log form

K(t) = 50 · 0.65t
This formula can be rewritten in a form t = A log (K) + B
Do this to find the values for A and B
Could someone please help me with this one?
Thank you.

08/03/18

#### Exponential function

K(t) = 50 · 0.65t
with t the time in hours.
For this formula calculate the growth factor per 15 minutes.
And, the forumila K(t) can be rewritten in a form t= A log(K) + B. Do this to...
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07/28/18

#### Transforming exponential functions to logarithmic

D(t) = 82.5 · 0.9982t with D the number of inhabitants in millions and t the time in years. t= 0 = the year 2008
The above mentioned equation describing the exponential growth of the number of...
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07/18/18

#### Expand the expression log(z^3/sq. rt. x^5y). Each logarithm should involve only one variable and should not have any radicals or exponents.

Please Use properties of logarithms to expand the expression. log(z^3/sq. rt. x^5y)Each logarithm should involve only one variable and should not have any radicals or exponents.You may assume that...
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07/18/18

#### Help with logarithms

An economist has found the following function for the number of mobile phones (in millions) sold worldwide since the year 2014: V(t) = 1244.74 · 1.1439t t= time in years. t=0 is the year 2014...
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07/04/18

#### More logarithms

Given log54=a and log34=b, express log21.8 in terms of a and b...
So how do you get two different bases from only log21.8.. are you supposed to like separate them to log29 - log25 ?

06/25/18

#### FInd the 1000th derivative of Ln(x+1)

I am struggling as i know the sequence but got no idea how to describe it mathematically!

06/16/18

#### Logarithm Rules

Use the logarithm rules to prove.... log(5/36) - log(5/9) equals -log4
Show all working

05/26/18

#### How does the base of a logarithm affect a graph?

I know what changing the base of a logarithm does graphically, but I'm having trouble trying to explain it mathematically

04/29/18

#### Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer.

ln (x - 3) - ln (x + 8) = ln (x - 6) - ln (x + 8)

04/29/18

#### Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer.

log 3 (x + 6) + log 3 (x - 6) - log 3 x = 2

04/29/18

#### Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1.

QUESTION IS:1/5 [5ln (x + 9) - ln x - ln (x^2 - 9)]

04/29/18

#### Logarithim Question

Solve the Equations
1.log x=6
I got 100,000 but I am just checking to see if I am correct
2. log(lower)5 (regular)5^3
I got 3

04/28/18

#### Find the domain of the logarithmic function. f(x) = log(x+5/x-2)

Show all steps. The equation is f(x)=log (x+5 over x-2)

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