What is the inverse of f(x)=7^{3x-5} ?

The inverse of f(x)=7^{3x-5} is (ln(16807x))/(3ln(7))

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inverse of f(x)=7^{3x-5}

inverse

f (x) = 7^{3 x - 5}

\frac{ln ( 16807 x )}{3 ln ( 7 )}

Solution steps

y = 7^{3 x - 5}

Replace

x

with

y

x = 7^{3 y - 5}

Solve for

y, x = 7^{3 y - 5}

\frac{ln ( 16807 x )}{3 ln ( 7 )}

\frac{7 x + 9}{x + 7}

f (x) = lo g_{10} (x^{2})

y = x + 1

f (x) = \frac{- 2}{x - 5}

f (x) = lo g_{\frac{1}{2}} (x)

What is the inverse of f(x)=7^{3x-5} ?
The inverse of f(x)=7^{3x-5} is (ln(16807x))/(3ln(7))