# How do you approximate #log_7 36# given #log_7 2=0.3562# and #log_7 3=0.5646#?

##### 1 Answer

Oct 9, 2016

Let's first examine the prime factorization of

So, accordingly, we can write

This is equal to

Checking this answer using your calculator, you will find that our answer is quite close to the actual answer,

Hopefully this helps!