Apply the power property of logarithms.
-$\ln 10 ^ { k t }$
A) $10 \ln k t$
B) $k t \ln 10$
C) $k t + \ln 10$
D) $10 \ln k \cdot 10 \ln t$

Name: Apply the power property of logarithms. -$\ln 10 ^ { k t }$ A) $10 \ln k t$ B) $k t \ln 10$ C) $k t + \ln 10$ D) $10 \ln k \cdot 10 \ln t$
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Question

Quizplus · Accepted Answer

The power property of logarithms states that $\log_b(m^n) = n \log_b(m)$. Applying this to $\ln 10^{kt}$, we get $kt \ln 10$, since $\ln$ is the natural logarithm with base $e$.

Apply the Power Property of Logarithms ln⁡10kt\ln 10 ^ { k t }ln10kt

Apply the Power Property of Logarithms $\ln 10 ^ { k t }$