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) = 3 + 4 + 8 x

f (x) = x^{5} + 30

f (x) = \frac{2}{3} x - 12

f (x) = 3 w - 4

arctan (ln (x))

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