Question

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

In e^x^2

Answer 1

`x^2`

Explanation:

apply the inverse properties of logarithmic and exponential functions to simplify

`ln(e^(x^2))`

all logs has base 'e'

Inverse property of log says that

`ln(e^x)=x`, the value of ln e=1

we apply this property in our problem. ln has same base 'e' . ln and 'e' gets cancelled

`ln(e^(x^2))`

`x^2`