Evaluate using the change-of-base formula. Round to four decimal places.
-$\log _{8.3} 2.9$
A) 1.9876
B) 0.4624
C) 0.5031
D) 0.3494

Name: Evaluate using the change-of-base formula. Round to four decimal places. -$\log _{8.3} 2.9$ A) 1.9876 B) 0.4624 C) 0.5031 D) 0.3494
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Question

Quizplus · Accepted Answer

The change-of-base formula states that $\log_{b} a = \frac{\log_{10} a}{\log_{10} b}$. Using this, $\log_{8.3} 2.9 = \frac{\log_{10} 2.9}{\log_{10} 8.3} \approx 0.5031$.

Evaluate Using the Change-Of-Base Formula log⁡8.32.9\log _{8.3} 2.9log8.3​2.9 A) 19876 B) 0

Evaluate Using the Change-Of-Base Formula $\log _{8.3} 2.9$ A) 19876
B) 0