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))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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 )}

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))