Answered

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y=5 ^x+4find the inverse of this function

Sagot :

Replace the variable y with x and x with y.

[tex]x=5^{y+4}[/tex]

Simplify the equation for y.

[tex]\begin{gathered} \ln (x)=\ln (5^{y+4}) \\ \ln x=(y+4)\ln 5 \\ y+4=\frac{\ln x}{\ln 5} \\ y=\frac{\ln x}{\ln 5}-4 \end{gathered}[/tex]

So inverse for the function is,

[tex]y=\frac{\ln x}{\ln5}-4[/tex]

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