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Popular >

inverse of f(x)=1+3^x

Solution

inverse

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

Solution

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

Solution steps

y = 1 + 3^{x}

Replace

x

with

y

x = 1 + 3^{y}

Solve for

y, x = 1 + 3^{y}

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

Graph

Popular Examples

inverse of f(x)=(x+4)/(x+12)inverse

f (x) = \frac{x + 4}{x + 12}

inverse of f(x)=(x+4)/(x+14)inverse

f (x) = \frac{x + 4}{x + 14}

inverse of y=(x^2)/(x^2+1)inverse

y = \frac{x ^{2}}{x ^{2} + 1}

inverse of f(x)=(5x+1)/(2x+3)inverse

f (x) = \frac{5 x + 1}{2 x + 3}

inverse of f(x)=(x^2+1)/(x^4+3x^2+1)inverse

f (x) = \frac{x ^{2} + 1}{x ^{4} + 3 x ^{2} + 1}

Frequently Asked Questions (FAQ)

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