What is the inverse of f(x)=1650(1.022)^x ?

The inverse of f(x)=1650(1.022)^x is (ln(x/(1650)))/(ln(1.022))

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inverse of f(x)=1650(1.022)^x

inverse

f (x) = 1650 (1.022)^{x}

\frac{ln ( \frac{x}{1650} )}{ln ( 1.022 )}

Solution steps

y = 1650 \cdot 1.02 2^{x}

Replace

x

with

y

x = 1650 \cdot 1.02 2^{y}

Solve for

y, x = 16501.02 2^{y}

\frac{ln ( \frac{x}{1650} )}{ln ( 1.022 )}

f (x) = - 5 - \frac{4}{3} x

f (x) = x - 1 + 3

f (x) = x^{2} + 8

f (x) = - 3 x + 3

f (x) = 5 (5 x - 1) - 1

What is the inverse of f(x)=1650(1.022)^x ?
The inverse of f(x)=1650(1.022)^x is (ln(x/(1650)))/(ln(1.022))