What is the inverse of f(5)=ln(3x-5)-ln(x+9)+5 ?

The inverse of f(5)=ln(3x-5)-ln(x+9)+5 is (-5e^5-9e^x)/(e^x-3e^5)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

inverse of f(5)=ln(3x-5)-ln(x+9)+5

inverse

f (5) = ln (3 x - 5) - ln (x + 9) + 5

\frac{- 5 e ^{5} - 9 e ^{x}}{e ^{x} - 3 e ^{5}}

Solution steps

y = ln (3 x - 5) - ln (x + 9) + 5

Replace

x

with

y

x = ln (3 y - 5) - ln (y + 9) + 5

Solve for

y, x = ln (3 y - 5) - ln (y + 9) + 5

\frac{- 5 e ^{5} - 9 e ^{x}}{e ^{x} - 3 e ^{5}}

What is the inverse of f(5)=ln(3x-5)-ln(x+9)+5 ?
The inverse of f(5)=ln(3x-5)-ln(x+9)+5 is (-5e^5-9e^x)/(e^x-3e^5)