Question

Please help me solve this math problemRewrite in exponential form Ln3=y

Answer 1

`\begin{gathered} 1)\ln(x)=6\: \\ 2)e^y=3 \end{gathered}`

1) Let's rewrite it as a logarithmic expression of the following exponential one. Let's do it step by step.

`\begin{gathered} e^6=x \\ \ln e^6=\ln x \\ \ln(x)=6 \end{gathered}`

Note that when we apply the natural log on both sides, we use one of those properties that tell us that we can eliminate the log since the base of a natural log is "e", as well as, "e" is the base of that power.

2) To rewrite in the exponential form we can do the following:

`\ln(3)=y\Leftrightarrow e^y=3`

Note that in this case, we have used the definition of logarithms.