What is the inverse of f(x)=-2+3^{x-1} ?

The inverse of f(x)=-2+3^{x-1} is (ln(x+2))/(ln(3))+1

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+3^{x-1}

inverse

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

\frac{ln ( x + 2 )}{ln ( 3 )} + 1

Solution steps

y = - 2 + 3^{x - 1}

Replace

x

with

y

x = - 2 + 3^{y - 1}

Solve for

y, x = - 2 + 3^{y - 1}

\frac{ln ( x + 2 )}{ln ( 3 )} + 1

f (x) = - (x - 1)^{2} - 1

f (x) = e^{\frac{x + 2}{x - 2}}

tan (\frac{3 π}{5})

f (x) = \frac{3 x + 8}{2}

g (x) = - 2 x - 2

What is the inverse of f(x)=-2+3^{x-1} ?
The inverse of f(x)=-2+3^{x-1} is (ln(x+2))/(ln(3))+1