Question

Which exponential equation is equivalent to the logarithmic equation below? 2 = ln x

Answer 1

hello :
2 = ln x is equivalent exponential equation : x = e²

Answer 2

`x=e^2`

Explanation:

We have been given the logarithmic equation

`2=ln x`

The base of natural log is e. Thus, we can rewrite this expression as

`2=\log_e x`

Now, we have the relation between logarithmic and exponential function

`\log_b(y)=x\Rightarrow y=b^x`

Using this relation, we can write the above logarithmic equation as

`2=\log_e x\Rightarrow x=e^2`

Therefore, the equivalent expression is
`x=e^2`