What is the inverse of f(x)=6+2^{7x-1} ?

The inverse of f(x)=6+2^{7x-1} is (ln(2(x-6)))/(7ln(2))

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inverse of f(x)=6+2^{7x-1}

inverse

f (x) = 6 + 2^{7 x - 1}

\frac{ln ( 2 ( x - 6 ) )}{7 ln ( 2 )}

Solution steps

y = 6 + 2^{7 x - 1}

Replace

x

with

y

x = 6 + 2^{7 y - 1}

Solve for

y, x = 6 + 2^{7 y - 1}

\frac{ln ( 2 ( x - 6 ) )}{7 ln ( 2 )}

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

s (t) = \frac{7 t}{sin ( t )}

x^{4} + 1

f (x) = 2 x + 5 y = 10

What is the inverse of f(x)=6+2^{7x-1} ?
The inverse of f(x)=6+2^{7x-1} is (ln(2(x-6)))/(7ln(2))