What is the inverse of f(x)=1980*0.97^x ?

The inverse of f(x)=1980*0.97^x is (ln(x/(1980)))/(ln(0.97))

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inverse of f(x)=1980*0.97^x

inverse

f (x) = 1980 \cdot 0.9 7^{x}

\frac{ln ( \frac{x}{1980} )}{ln ( 0.97 )}

Solution steps

y = 1980 \cdot 0.9 7^{x}

Replace

x

with

y

x = 1980 \cdot 0.9 7^{y}

Solve for

y, x = 1980 \cdot 0.9 7^{y}

\frac{ln ( \frac{x}{1980} )}{ln ( 0.97 )}

f (x) = 2 x^{2} - 13 x + 15

f (x) = \frac{4 x - 5}{3 x - 1}

f (x) = (x - 3)^{3} + 5

f (x) = 4 x - 3 y = - 6

sec (2 x)

What is the inverse of f(x)=1980*0.97^x ?
The inverse of f(x)=1980*0.97^x is (ln(x/(1980)))/(ln(0.97))