alexisjflora alexisjflora

11-02-2021
Mathematics

contestada

find the inverse of the exponential function y=3^x

Respuesta :

GeorgePP GeorgePP

11-02-2021

Answer:

Step-by-step explanation:

Switch the x and y variables

[tex]x=3^y[/tex]

Solve for the new y value by taking the natural log of both sides

[tex]ln|x|=y*ln(3)[/tex]

Divide both sides by the natural log of 3

[tex]\frac{\ln|x|}{\ln(3)} =y[/tex]

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