What is the inverse of f(x)=3960(1.06)^x ?

The inverse of f(x)=3960(1.06)^x is (ln(x/(3960)))/(ln(1.06))

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inverse of f(x)=3960(1.06)^x

inverse

f (x) = 3960 (1.06)^{x}

\frac{ln ( \frac{x}{3960} )}{ln ( 1.06 )}

Solution steps

y = 3960 \cdot 1.0 6^{x}

Replace

x

with

y

x = 3960 \cdot 1.0 6^{y}

Solve for

y, x = 39601.0 6^{y}

\frac{ln ( \frac{x}{3960} )}{ln ( 1.06 )}

What is the inverse of f(x)=3960(1.06)^x ?
The inverse of f(x)=3960(1.06)^x is (ln(x/(3960)))/(ln(1.06))