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

Answer:

5x + 2

Step-by-step 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,

$e^{\ln(5x + 2)}=e^{\log_e(5x+2)}=5x+2$