What is the inverse of f(x)=(3^{x-2})/5 ?

The inverse of f(x)=(3^{x-2})/5 is (ln(x*5))/(ln(3))+2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

inverse of f(x)=(3^{x-2})/5

inverse

f (x) = \frac{3 ^{x - 2}}{5}

\frac{ln ( x \cdot 5 )}{ln ( 3 )} + 2

Solution steps

y = \frac{3 ^{x - 2}}{5}

Replace

x

with

y

x = \frac{3 ^{y - 2}}{5}

Solve for

y, x = \frac{3 ^{y - 2}}{5}

\frac{ln ( x \cdot 5 )}{ln ( 3 )} + 2

What is the inverse of f(x)=(3^{x-2})/5 ?
The inverse of f(x)=(3^{x-2})/5 is (ln(x*5))/(ln(3))+2