Log base 32 of 2
Help

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

the slope of the first function is -3. (3/1)

the slope of the second function is 1. (13-10/6-3).

since |-3| is greater than |1|, the function with the steepest slope is the first.