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

The inverse of f(x)=3*2^{x-1}+1 is (ln((x-1)/3))/(ln(2))+1

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

inverse

f (x) = 3 \cdot 2^{x - 1} + 1

\frac{ln ( \frac{x - 1}{3} )}{ln ( 2 )} + 1

Solution steps

y = 3 \cdot 2^{x - 1} + 1

Replace

x

with

y

x = 3 \cdot 2^{y - 1} + 1

Solve for

y, x = 3 \cdot 2^{y - 1} + 1

\frac{ln ( \frac{x - 1}{3} )}{ln ( 2 )} + 1

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