Provide an appropriate response.
-Given that $\log _ { 10 } 2 = 0.301$, find $\log _ { 10 } 16$ without using a calculator.
A) 48
B) 8
C) $1.204$
D) $0.027$

Name: Provide an appropriate response. -Given that $\log _ { 10 } 2 = 0.301$, find $\log _ { 10 } 16$ without using a calculator. A) 48 B) 8 C) $1.204$ D) $0.027$
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Question

Quizplus · Accepted Answer

Since $16 = 2^4$, we can use the property of logarithms that $\log_b(a^n) = n \cdot \log_b(a)$. Therefore, $\log_{10} 16 = \log_{10} (2^4) = 4 \cdot \log_{10} 2 = 4 \cdot 0.301 = 1.204$.

Provide an Appropriate Response log⁡102=0.301\log _ { 10 } 2 = 0.301log10​2=0.301

Provide an Appropriate Response $\log _ { 10 } 2 = 0.301$