Question 4 (5 points) Evaluate the expression log 5 1/25.

A)-1/2
B)-2
3)1/2
4)2

B (-2)

Step-by-step explanation:

[log base b of a = c] turns into [b^c = a]

You have log base 5 of 1/25 = ?, so it turns into 5^? = 1/25

This part is sort of guess and check, but we can look at it to find the answer pretty easily. First, it's 1/n, so we should use a negative power: 5^-1 = 1/5

In addition to being in the denominator, it's 25, which is 5^2.

So, if we want to put it in a reciprocal as well as square it, we can use -2:

5^(-2) = 1/(5^2) = 1/25

Since -2 (B) is the exponent we place on 5 to get 1/25, it is also the answer to log base 5 of 1/25.

practice. practice. practice.

i think it would be 42cm