Respuesta :

IsrarAwan
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
[tex]log_464[/tex]

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

[tex]4^1 = 4 \\ 4^2 = 16 \\ 4^3 = 64[/tex]

Hence the answer is "3".

aencabo
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 

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