What is the inverse of f(x)=((8^x)/5)^7 ?

The inverse of f(x)=((8^x)/5)^7 is (ln(78125x))/(21ln(2))

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inverse of f(x)=((8^x)/5)^7

inverse

f (x) = (\frac{8 ^{x}}{5})^{7}

\frac{ln ( 78125 x )}{21 ln ( 2 )}

Solution steps

y = (\frac{8 ^{x}}{5})^{7}

Replace

x

with

y

x = (\frac{8 ^{y}}{5})^{7}

Solve for

y, x = (\frac{8 ^{y}}{5})^{7}

\frac{ln ( 78125 x )}{21 ln ( 2 )}

f (x) = \frac{1}{2} - 2

g (x) = x + 5

f (x) = \frac{x ^{4}}{4}

f (x) = e^{x^{3} + 1}

f (x) = 3 (2 x + 5)

What is the inverse of f(x)=((8^x)/5)^7 ?
The inverse of f(x)=((8^x)/5)^7 is (ln(78125x))/(21ln(2))