Question

Rewrite the following statement using a natural logarithm. Fill in each blank with the appropriate letter or number. e^a=b is equivalent to ln (_____)=______

Answer 1

Given the exponential expression:

$e^a=b$

We will rewrite the expression using a natural logarithm

so,

$\begin{gathered} \ln e^a=\ln b \\ a\cdot\ln e=\ln b \\ a\cdot1=\ln b \\ a=\ln b \end{gathered}$

so, the answer will be:

$a=\ln b$