Use properties of logarithms to expand the logarithmic expression \log_8(13\c

Cem Hayes

Cem Hayes

Answered question

2021-10-17

Use properties of logarithms to expand the logarithmic expression log8(137) as much as possible. Where possible, evaluate logarithmic expressio ns without using a calculator.

Answer & Explanation

Arnold Odonnell

Arnold Odonnell

Skilled2021-10-18Added 109 answers

Step 1
Use properties of logarithms to expand the logarithmic expression log8(137) as much as possible.
Step 2
The given logarithmic expression is log8(137)
The product rules states that the logarithm of a product is the sum of the logarithms.
logm(ab)=logm(a)+logm(b)
Apply the product rule in the given expression.
log8(137)=log8(13)+log8(7)
The expanded form of log8(137)  is  log8(13)+log8(7)

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?