Mathematics: Which of the following is equivalent to log base (32) 4?

So maybe 12.9, by the way just trying to get points not listen to that...

Which of the following is equivalent to log base

alex0123

04.01.2022

0.4

Step-by-step explanation:

We are given one logrithmic expression and asked to find its value

Given term is log of 4 to base 32.

By definition of log we have

if $a^x =b\\x = log _{a} b$

Applying the same let us assume that

$log_{32} 4=x\\32^x =4\\(2^5)^x =2^2\\2^{5x} =2^2$

Now equate the exponents since base is equal

5x =2

x =2/5 =0.4

Answer is the given is equivalent to 0.4

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