What is the inverse of f(x)=100(0.95)^x ?

The inverse of f(x)=100(0.95)^x is (ln(x/(100)))/(ln(0.95))

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inverse of f(x)=100(0.95)^x

inverse

f (x) = 100 (0.95)^{x}

\frac{ln ( \frac{x}{100} )}{ln ( 0.95 )}

Solution steps

y = 100 \cdot 0.9 5^{x}

Replace

x

with

y

x = 100 \cdot 0.9 5^{y}

Solve for

y, x = 1000.9 5^{y}

\frac{ln ( \frac{x}{100} )}{ln ( 0.95 )}

in f l ec t i o n 2 x^{3} + x^{2} - 5 x + 1

in v erse lo g_{4} (x - 2)

in f l ec t i o n f (x) = x 5 - x

s l o p e \frac{20 - 40}{32 - 60}

in v erse 2 + x + 1

What is the inverse of f(x)=100(0.95)^x ?
The inverse of f(x)=100(0.95)^x is (ln(x/(100)))/(ln(0.95))