Question

Log base 32 of 2 Help

Answer 1

Answer:

$log_{32}(2)=0.2$

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:

$log_{32}(2)=x$

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

$x=\frac{log(2)}{log(32)} \\x=0.2$

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

$32^x=2$

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

$2^5=32$

Then $32^{1/5} = 2$

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