Find the logarithm using the change-of-base formula.
-$\log _ { 200 } 40$
A) $3.6889$
B) $1.4363$
C) $5.2983$
D) $0.6962$

Name: Find the logarithm using the change-of-base formula. -$\log _ { 200 } 40$ A) $3.6889$ B) $1.4363$ C) $5.2983$ D) $0.6962$
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Quizplus · Accepted Answer

The change-of-base formula states that $\log_b a = \frac{\log_c a}{\log_c b}$. Using base 10, $\log_{200} 40 = \frac{\log_{10} 40}{\log_{10} 200} \approx \frac{1.6021}{2.3010} \approx 0.6962$.

Find the Logarithm Using the Change-Of-Base Formula log⁡20040\log _ { 200 } 40log200​40

Find the Logarithm Using the Change-Of-Base Formula $\log _ { 200 } 40$