Rewriting $e^{6 a}=b$ using logs gives
A) $\ln a=b/6$
B) $\ln (b / 6)=a$
C) $\ln 6 a=b$
D) $\ln b=6 a$

Name: Rewriting $e^{6 a}=b$ using logs gives A) $\ln a=b/6$ B) $\ln (b / 6)=a$ C) $\ln 6 a=b$ D) $\ln b=6 a$
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Question

Quizplus · Accepted Answer

Taking the natural logarithm of both sides of the equation $e^{6a} = b$ gives $\ln(e^{6a}) = \ln(b)$. By the property of logarithms, $\ln(e^{6a}) = 6a$, so the equation becomes $6a = \ln(b)$, or $\ln(b) = 6a$.

Rewriting e6a=be^{6 a}=be6a=b Using Logs Gives A) ln⁡a=b/6\ln a=b/6lna=b/6 B) ln⁡(b/6)=a\ln (b / 6)=aln(b/6)=a

Rewriting $e^{6 a}=b$ Using Logs Gives
A) $\ln a=b/6$ B) $\ln (b / 6)=a$