Question

Evaluate the expression. If necessary, round to the nearest hundredth. log 4 64

Answer 1

log 64 base 4 = 3

properties of log:
log a base b = x   >>>   b^x = a

so log 64 base 4 = 3 >>> 4^3 = 64 

or 64^(1/3) = 4 

Answer 2

The correct answer is: 3
Explanation:


Instead of sharing the conventional tedious, method, let me share with you the simple trick here to solve these types of questions without using the calculator:

Given
$log_464$

It is essentially saying that WHAT power of 4(which is the base of log) gives us the value 64. You need to find the answer to that "WHAT."

Well

$4^1 = 4 \\ 4^2 = 16 \\ 4^3 = 64$

Hence the answer is "3".