What is the inverse of f(x)= 1/2*8^{3x+9}-7 ?

The inverse of f(x)= 1/2*8^{3x+9}-7 is (ln(\frac{x+7)/(67108864))}{9ln(2)}

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inverse of f(x)= 1/2*8^{3x+9}-7

inverse

f (x) = \frac{1}{2} \cdot 8^{3 x + 9} - 7

\frac{ln ( \frac{x + 7}{67108864} )}{9 ln ( 2 )}

Solution steps

y = \frac{1}{2} \cdot 8^{3 x + 9} - 7

Replace

x

with

y

x = \frac{1}{2} \cdot 8^{3 y + 9} - 7

Solve for

y, x = \frac{1}{2} \cdot 8^{3 y + 9} - 7

\frac{ln ( \frac{x + 7}{67108864} )}{9 ln ( 2 )}

f (x) = 14 - x - 4

f (x) = \frac{10 - 3 x}{1 + 2 x}

f (x) = 4 x (4 - x)

f (x) = 3 (x - 2)^{2} - 4

f (x) = \frac{2 x - 5}{x + 1}

What is the inverse of f(x)= 1/2*8^{3x+9}-7 ?
The inverse of f(x)= 1/2*8^{3x+9}-7 is (ln(\frac{x+7)/(67108864))}{9ln(2)}