Question

Use the inverse relationship between logarithmic and exponential functions to solve the equation for x. Simplify your answer using the rules of logarithms and the change of base formula.ln(x) = −2X=________

Answer 1

using the following property

`e^(b\ln a)=a^b`

We can rewrite our expression by exponentiating both sides:

`\begin{gathered} e^(\ln x)=e^(-2) \\ x^1=e^(-2) \\ x=(1)/(e^2) \end{gathered}`