Evaluate the expression without using a calculator. $\log _ { 2 } 16 ^ { 23 }$
A) $46$
B) $92$
C) $23$
D) $16 ^ { 23 }$
E) none

Name: Evaluate the expression without using a calculator. $\log _ { 2 } 16 ^ { 23 }$ A) $46$ B) $92$ C) $23$ D) $16 ^ { 23 }$ E) none
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Question

Quizplus · Accepted Answer

We can use the logarithmic identity $\log_a(b^c)=c\log_ a(b)$ to rewrite the expression as $23\log_2(16)=23\log_2(2^4)=23	imes 4=92.$ Therefore, the answer is choice B.

Evaluate the Expression Without Using a Calculator log⁡21623\log _ { 2 } 16 ^ { 23 }log2​1623

Evaluate the Expression Without Using a Calculator $\log _ { 2 } 16 ^ { 23 }$