So if f(x) = log subscript 5 x then the value of 125 is -3 and the value of 1/25 is -2. Right?

No, yes.

No, that is incorrect. The value of 125 is not -3 when using the function f(x) = log subscript 5 x. The value of 125 would actually be 3, not -3. Similarly, the value of 1/25 would not be -2, it would be -2/3.

To understand why, let's break down how logarithms work. In this case, we are using a logarithm with base 5. The logarithm of a number x to the base 5 can be written as log subscript 5 x.

To find the value of 125 in this logarithm, we need to ask ourselves "What power of 5 gives us 125?" Well, 5 raised to the power of 3 (5^3) equals 125. Therefore, the logarithm of 125 to the base 5 is 3. So, f(125) = log subscript 5 125 = 3.

Similarly, to find the value of 1/25 in this logarithm, we need to ask ourselves "What power of 5 gives us 1/25?" Well, 5 raised to the power of -2 (5^-2) equals 1/25. Therefore, the logarithm of 1/25 to the base 5 is -2. So, f(1/25) = log subscript 5 (1/25) = -2.

Therefore, the correct values are f(125) = 3 and f(1/25) = -2.