Question

Evaluate log_5 (125)

a) 2
b) 3
c) 5
d) 4

Answer 1

The correct answer is option b. The value of log_5 (125) is found by determining what exponent you need to raise 5 to in order to get 125. Since 5 cubed equals 125, the answer is 3.

Step-by-step explanation:

The student asked to evaluate log_5 (125). To find the value of this logarithmic expression, we need to determine what power you must raise 5 to in order to get 125. We know that 53 = 125, so log_5 (125) = 3. Therefore, the correct answer is b) 3.

Step-by-step Explanation:

1. Identify the base of the logarithm, which is 5.
2. Determine the number that the base must be raised to, to get the number inside the log function. This number is 125 in our case.
3. Recognize that 53 equals 125.
4. Conclude that since 5 raised to the power of 3 gives 125, then log_5 (125) must be 3.