Question

Tyler applied the change of base formula to a logarithmic expression. The resulting expression is shown below.

Answer 1

Answer;

The answer is the second; log ₁₂1/4

Explanation;

From the laws of logarithms, given an expression in the form;

Log ₓ y, where x is the base and y is the number, we can apply the change of base formula to a logarithmic expression to get;

Log y/log x, which are to base 10

Thus; Log₁₂1/4 = log 1/4/ log 12

Answer 2

The correct expression is the second in the choices. Proving this, we have the following:
(log 1/4)/log 12=-0.558
In the choices, we have the second equivalent to the original problem.
log12(1/4)=-0.558
Therefore, the answer is number 2 in choices or letter B.