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kvv77 [185]
3 years ago
6

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

Mathematics
2 answers:
grigory [225]3 years ago
8 0
<span>log 64 base 4 = 3

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

so </span>log 64 base 4 = 3 >>> 4^3 = 64 

or 64^(1/3) = 4 
Allushta [10]3 years ago
6 0
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 \\&#10;4^2 = 16 \\&#10;4^3 = 64

Hence the answer is "3".

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