What is the inverse of f(x)=6log_{5}(-4x)-7 ?

The inverse of f(x)=6log_{5}(-4x)-7 is -(5^{(x+7)/6})/(4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

inverse of f(x)=6log_{5}(-4x)-7

inverse

f (x) = 6 lo g_{5} (- 4 x) - 7

- \frac{5 ^{\frac{x + 7}{6}}}{4}

Solution steps

y = 6 lo g_{5} (- 4 x) - 7

Replace

x

with

y

x = 6 lo g_{5} (- 4 y) - 7

Solve for

y, x = 6 lo g_{5} (- 4 y) - 7

- \frac{5 ^{\frac{x + 7}{6}}}{4}

What is the inverse of f(x)=6log_{5}(-4x)-7 ?
The inverse of f(x)=6log_{5}(-4x)-7 is -(5^{(x+7)/6})/(4)