Find the logarithm using the change-of-base formula.
-$\log _ { 100 } 50$
A) $4.6052$
B) $3.912$
C) $1.1772$
D) $0.8495$

Name: Find the logarithm using the change-of-base formula. -$\log _ { 100 } 50$ A) $4.6052$ B) $3.912$ C) $1.1772$ D) $0.8495$
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Question

Quizplus · Accepted Answer

The change-of-base formula for logarithms is $\log_b a = \frac{\log_c a}{\log_c b}$. Using base 10, $\log_{100} 50 = \frac{\log_{10} 50}{\log_{10} 100}$. Calculating this gives $\frac{1.69897}{2} = 0.8495$.

Find the Logarithm Using the Change-Of-Base Formula log⁡10050\log _ { 100 } 50log100​50

Find the Logarithm Using the Change-Of-Base Formula $\log _ { 100 } 50$