What is the inverse of f(x)=e^{8-5ln(x)} ?

The inverse of f(x)=e^{8-5ln(x)} is e^{-(ln(x)-8)/5}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inverse of f(x)=e^{8-5ln(x)}

inverse

f (x) = e^{8 - 5 l n (x)}

e^{- \frac{l n ( x ) - 8}{5}}

Solution steps

y = e^{8 - 5 l n (x)}

Replace

x

with

y

x = e^{8 - 5 l n (y)}

Solve for

y, x = e^{8 - 5 l n (y)}

e^{- \frac{l n ( x ) - 8}{5}}

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

- 4 lo g_{10} (- \frac{1}{3} (x + 2)) + 1

x^{2} - 3 x - 10

f (x) = - (x - 1) - 1

- x^{2} - 2 x

What is the inverse of f(x)=e^{8-5ln(x)} ?
The inverse of f(x)=e^{8-5ln(x)} is e^{-(ln(x)-8)/5}