What is the inverse of f(x)=(ln(x-4))/(ln(3)) ?

The inverse of f(x)=(ln(x-4))/(ln(3)) is 3^x+4

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inverse of f(x)=(ln(x-4))/(ln(3))

inverse

f (x) = \frac{ln ( x - 4 )}{ln ( 3 )}

3^{x} + 4

Solution steps

y = \frac{ln ( x - 4 )}{ln ( 3 )}

Replace

x

with

y

x = \frac{ln ( y - 4 )}{ln ( 3 )}

Solve for

y, x = \frac{ln ( y - 4 )}{ln ( 3 )}

3^{x} + 4

\frac{( 2 x - 1 )}{x + 2}

lo g_{5} (x + 6) - 7

f (x) = \frac{1}{7} x + \frac{5}{7}

3^{- x}

e^{t^{2} + \frac{t}{50}}

What is the inverse of f(x)=(ln(x-4))/(ln(3)) ?
The inverse of f(x)=(ln(x-4))/(ln(3)) is 3^x+4