Question

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

Answer 1

log32 4 = x
32^x = 4
x = 0.4

Answer 2

0.4

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