Use the properties of logarithms to evaluate the expression without the use of a calculator.
-$$4 ^ { \log _ { 4 } 6 }$$
A)1
B)6
C)4
D)24

Question

Quizplus · Accepted Answer

The expression simplifies directly by the definition of logarithms: $4^{\log_4 6} = 6$. This is because the logarithm asks the question "to what power must the base (4) be raised to produce the number inside the log (6)?", and the expression then raises 4 to that power, resulting in 6.

Use the Properties of Logarithms to Evaluate the Expression Without 4log⁡464 ^ { \log _ { 4 } 6 }4log4​6

Use the Properties of Logarithms to Evaluate the Expression Without $4 ^ { \log _ { 4 } 6 }$