Question

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

- 8 + e^Inx^3

Answer 1

`x^3-8`

Explanation:

apply the inverse properties of logarithmic and exponential functions to simplify

`- 8 + e^(lnx^3)`

Inverse property of log says that

`e^{ln(x)=x`

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

`e^{ln(x^3)=x^3`

`- 8 + e^(lnx^3)`

`- 8 +x^3`

`x^3-8`