What is the inverse of f(x)=100(1.03^x(ln(1.03))) ?

The inverse of f(x)=100(1.03^x(ln(1.03))) is (ln(x/(100ln(1.03))))/(ln(1.03))

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inverse of f(x)=100(1.03^x(ln(1.03)))

inverse

f (x) = 100 (1.0 3^{x} (ln (1.03)))

\frac{ln ( \frac{x}{100 l n ( 1.03 )} )}{ln ( 1.03 )}

Solution steps

y = 100 \cdot 1.0 3^{x} ln (1.03)

Replace

x

with

y

x = 100 \cdot 1.0 3^{y} ln (1.03)

Solve for

y, x = 1001.0 3^{y} ln (1.03)

\frac{ln ( \frac{x}{100 l n ( 1.03 )} )}{ln ( 1.03 )}

What is the inverse of f(x)=100(1.03^x(ln(1.03))) ?
The inverse of f(x)=100(1.03^x(ln(1.03))) is (ln(x/(100ln(1.03))))/(ln(1.03))