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Popular >

inverse of f(x)=3^{x-1}

Solution

inverse

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

Solution

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

Solution steps

y = 3^{x - 1}

Replace

x

with

y

x = 3^{y - 1}

Solve for

y, x = 3^{y - 1}

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

Popular Examples

slope of x+2y=-1 slope

x + 2 y = - 1

domain of f(x)= 4/9 x^2-6x+5,x=9 domain

f (x) = \frac{4}{9} x^{2} - 6 x + 5, x = 9

range of f(x)=2(x-2)^2-1 range

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

slope ofintercept y=-3/10 x-8y slope intercept

y = - \frac{3}{10} x - 8 y

slope ofintercept-2x+6y=-12 slope intercept

- 2 x + 6 y = - 12

Frequently Asked Questions (FAQ)

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