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Popular >

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

Solution

inverse

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

Solution

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

Solution steps

y = 3^{x - 3}

Replace

x

with

y

x = 3^{y - 3}

Solve for

y, x = 3^{y - 3}

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

Popular Examples

parity f(x)=x|x+3|parity

f (x) = x ∣ x + 3 ∣

symmetry y=x^2+2x+3 symmetry

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

domain of f(x)= 1/8 x^2 domain

f (x) = \frac{1}{8} x^{2}

inverse of (x-3)^3 inverse

(x - 3)^{3}

inverse of f(x)=sqrt(((x+1))/(x-2))inverse

f (x) = \frac{( x + 1 )}{x - 2}

Frequently Asked Questions (FAQ)

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