SOLUTION: Evaluate this: log (base 2) 35 - log (base 4) 13. I hope my question is clear!

Question 842219: Evaluate this: log (base 2) 35 - log (base 4) 13.
I hope my question is clear!

Found 3 solutions by ewatrrr, josgarithmetic, Edwin McCravy:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi,
Using base conversion formula
-
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
log (base 2) 35 - log (base 4) 13

Evaluate .

Use change of base formula. Choose a base for which you can either find tables of logarithms or for which a handheld calculator will be able to use.

Common Log will be used here.

or very very near it.

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!

Use change of base formula on second term:

We calculate by setting it equal to x

by using the fact that is equivalent to

Equate exponents
x = 2
So

Use the rule

The power is the same as the square root:

Use the rule

Edwin

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