Question

Suppose f(x) = log_a(x) and f(5) = 2. Find f(1/25).

A. -2
B. -1
C. 0
D. 1
E. 2

Answer 1

To find f(1/25), substitute x = 1/25 into the function f(x) = log_a(x) and solve using the given information.

Step-by-step explanation:

To find f(1/25), we need to substitute x = 1/25 into the function f(x) = loga(x). We are given that f(5) = 2.

So, plugging in x = 5, we get 2 = loga(5).

To find the value of a, we need to rewrite the equation in exponential form. We have a2 = 5.

Therefore, a = 51/2. Now, substitute this value of a into the function and calculate f(1/25).