Question

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

StartFraction log one-fourth Over log 12 EndFraction

Which expression could be Tyler’s original expression?
Log Subscript one-fourth Baseline 12
Log Subscript 12 Baseline One-fourth
12 Log one-fourth
One-fourth log 12

Answer 1

Other guy is correct

Explanation:

Answer 2

`log_(12)((1)/(4))`

Explanation:

We start with our equation that the change of base formula was applied to:

`(log(1)/(4) )/(log12)`

The change of base formula describes taking the base (b) of the logarithm and setting it as the denominator while taking the remaining number (a) and setting that as the numerator.

If we reverse the formula, we end up with the supplied answer.

`log_(12)((1)/(4))`