Question

Which of the following logarithmic equations is equivalent to the exponential

equation below?
e^x = 15.29

Answer 1

Let's solve for x

• e^x=15.29

So natural logarithm on both sides

`\\ \rm\Rrightarrow x=ln(15.29)`

`\\ \rm\Rrightarrow x=2.73`

Answer 2

Explanation:

Natural log and the number 'e' are inverse to each other. Therefore, if you take the natural log of both sides, the exponential cancels and leaves 'x' isolated:

`ln(e^x)=ln(15.29)`

`x=ln(15.29)`