Log base 32 of 2
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Step-by-step explanation:

Recall that the unknown (x) here is the log base 32 of 2, so we can write this as the equation:

The above equation can be solved by the "change of base formula":

We can also answer this by trying to solve the exponential equation:

Where we are asked what is the exponent (x) at which we need to raise the base (32) in order to obtain the answer "2"?

Notice that since

Then

And 1/5 = 0.2 which also agrees with our previous answer