What is the inverse of f(x)=50(0.8)^x ?

The inverse of f(x)=50(0.8)^x is (ln(x/(50)))/(ln(0.8))

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inverse of f(x)=50(0.8)^x

inverse

f (x) = 50 (0.8)^{x}

\frac{ln ( \frac{x}{50} )}{ln ( 0.8 )}

Solution steps

y = 50 \cdot 0. 8^{x}

Replace

x

with

y

x = 50 \cdot 0. 8^{y}

Solve for

y, x = 500. 8^{y}

\frac{ln ( \frac{x}{50} )}{ln ( 0.8 )}

f (x) = \frac{x - 3}{7 x + 4}

g (x) = \frac{3 x - 5}{2 + 6}

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

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

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

What is the inverse of f(x)=50(0.8)^x ?
The inverse of f(x)=50(0.8)^x is (ln(x/(50)))/(ln(0.8))