Question

Applying Inverse Properties In Exercise,apply the inverse properties of logarithmic and exponential functions to simplify the expression.See example 2.
- 1 + In e2x

Answer 1

Answer:

2x - 1

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,

$- 1 + \ln e^{2x} = - 1 + \log_e e^{2x} = 2x-1$