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

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

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

inverse

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

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

Solution steps

y = \frac{5 - 3 ^{x}}{2}

Replace

x

with

y

x = \frac{5 - 3 ^{y}}{2}

Solve for

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

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

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

f (x) = \frac{2 x + 9}{7 x}

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

cosh (x)

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

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