Question

Applying Inverse Properties In Exercise,apply the inverse properties of logarithmic and exponential functions to simplify the expression.See example 2.

eIn(5x + 2)

Answer 1

5x + 2

Explanation:

Since logarithm has the following property:

If
`f(x)=b^x` and
`g(x)=\log_bx`,

Then
`fog=b^(\log_bx)=x` and
`gof=\log_bbx=x`

Therefore,

`e^(\ln(5x + 2))=e^(\log_e(5x+2))=5x+2`