Use the properties of logarithms to find the exact value of the expression. Do not use a calculator.
-$4 ^ { \log _ { 4 } 0.473 }$
A) 477
B) 4
C) $2.114$
D) $0.473$

Question

Quizplus · Accepted Answer

The expression $4 ^ { \log _ { 4 } 0.473 }$ simplifies directly to $0.473$ because the base of the exponent and the base of the logarithm are the same, which means the operations cancel each other out.

Use the Properties of Logarithms to Find the Exact Value 4log⁡40.4734 ^ { \log _ { 4 } 0.473 }4log4​0.473

Use the Properties of Logarithms to Find the Exact Value $4 ^ { \log _ { 4 } 0.473 }$