What is the inverse of f(x)=-3*2^x+5 ?

The inverse of f(x)=-3*2^x+5 is (ln(-(x-5)/3))/(ln(2))

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inverse of f(x)=-3*2^x+5

inverse

f (x) = - 3 \cdot 2^{x} + 5

\frac{ln ( - \frac{x - 5}{3} )}{ln ( 2 )}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{ln ( - \frac{x - 5}{3} )}{ln ( 2 )}

What is the inverse of f(x)=-3*2^x+5 ?
The inverse of f(x)=-3*2^x+5 is (ln(-(x-5)/3))/(ln(2))