What is the inverse of f(x)=3(2^{4x-5}) ?

The inverse of f(x)=3(2^{4x-5}) is (ln((32x)/3))/(4ln(2))

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inverse of f(x)=3(2^{4x-5})

inverse

f (x) = 3 (2^{4 x - 5})

\frac{ln ( \frac{32 x}{3} )}{4 ln ( 2 )}

Solution steps

y = 3 \cdot 2^{4 x - 5}

Replace

x

with

y

x = 3 \cdot 2^{4 y - 5}

Solve for

y, x = 3 2^{4 y - 5}

\frac{ln ( \frac{32 x}{3} )}{4 ln ( 2 )}

\frac{5}{2 x + 1}

f (x) = 2 x - 15

y = e^{7} - x

f (x) = 16 x + 2

2 x^{\frac{3}{2}}

What is the inverse of f(x)=3(2^{4x-5}) ?
The inverse of f(x)=3(2^{4x-5}) is (ln((32x)/3))/(4ln(2))