contestada

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=________

Respuesta :

using the following property

[tex]e^{b\ln a}=a^b[/tex]

We can rewrite our expression by exponentiating both sides:

[tex]\begin{gathered} e^{\ln x}=e^{-2} \\ x^1=e^{-2} \\ x=\frac{1}{e^2} \end{gathered}[/tex]