Question

Which logarithmic equation is equivalent to the exponential below ? e^5x=6

Answer 1

$\bf \textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b~\hfill e^{5x}=6\implies \log_e(6)=5x$

Answer 2

The logarithmic equation for the given exponential equation is $log_{e} (6)=5x$.

The given exponential equation is $e^{5x} =6$.

We need to find the equivalent logarithmic equation to the given exponential equation.

How do convert an exponential equation to a logarithmic equation?

To convert an exponential equation to a logarithmic equation use the rule $log_{a}b=y \implies a^{y}=b$.

Now, $e^{5x} =6$

⇒$log_{e} (6)=5x$

Therefore, the logarithmic equation is $log_{e} (6)=5x$.

To learn more about the logarithmic equation visit:

https://brainly.com/question/3181916.

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