What is the inverse of f(x)=64^{x-17} ?

The inverse of f(x)=64^{x-17} is (ln(x))/(6ln(2))+17

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inverse of f(x)=64^{x-17}

inverse

f (x) = 6 4^{x - 17}

\frac{ln ( x )}{6 ln ( 2 )} + 17

Solution steps

y = 6 4^{x - 17}

Replace

x

with

y

x = 6 4^{y - 17}

Solve for

y, x = 6 4^{y - 17}

\frac{ln ( x )}{6 ln ( 2 )} + 17

d o main f (x) = 3 x - 4

mi d p o in t (8, - 8), (- 4, - 2)

d o main \frac{3 x ^{2}}{x ^{2} - 4}

r an g e \frac{3 x ^{2} - 3}{x ^{2} + x - 6}

d o main \frac{12 x + 35}{x ( x + 7 )}

What is the inverse of f(x)=64^{x-17} ?
The inverse of f(x)=64^{x-17} is (ln(x))/(6ln(2))+17