Use the change of base rule to find the logarithm to four decimal places.
-$\log _ { 2 } 0.92$
A) $0.1203$
B) $- 0.2406$
C) $- 8.3130$
D) $- 0.1203$

Name: Use the change of base rule to find the logarithm to four decimal places. -$\log _ { 2 } 0.92$ A) $0.1203$ B) $- 0.2406$ C) $- 8.3130$ D) $- 0.1203$
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Question

Quizplus · Accepted Answer

The change of base formula is $\log_b a = \frac{\log_c a}{\log_c b}$. Using base 10, $\log_2 0.92 = \frac{\log_{10} 0.92}{\log_{10} 2} \approx \frac{-0.0362}{0.3010} \approx -0.1203$.

Use the Change of Base Rule to Find the Logarithm log⁡20.92\log _ { 2 } 0.92log2​0.92

Use the Change of Base Rule to Find the Logarithm $\log _ { 2 } 0.92$