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

Use the change-of-base formula: log_b(a) = log(a) / log(b). Here a = 1/4 and b = 12, so (log(1/4)) / (log 12) = log base 12 of 1/4.

Answer: Log_subscript_12 (1/4).