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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

inverse

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

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

Solution steps

y = 2^{x - 3} - 5

Replace

x

with

y

x = 2^{y - 3} - 5

Solve for

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

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

f (x) = 2 π r^{2} + 8 π r

f (x) = 2 (3 x + 1) + 4

f (x) = \frac{x}{x - 3}

f (x) = \frac{1}{4} (x + 3)^{2} - 2

\frac{2 x - 3}{3 x - 1}

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