Question

Find the value of the unknown base.
Log n 1/4=-1/2

Answer 1

Therefore, the value of the unknown base is n = 16.

Explanation:

Using the definition of logarithms, we have:

log_n(1/4) = -1/2

This equation can be rewritten as:

n^(-1/2) = 1/4

To solve for n, we can raise both sides to the -2 power:

n^(-1/2)^(-2) = (1/4)^(-2)

n = 16

Therefore, the value of the unknown base is n = 16.