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Popular >

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

Solution

inverse

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

Solution

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

Solution steps

y = 3^{x} - 1

Replace

x

with

y

x = 3^{y} - 1

Solve for

y, x = 3^{y} - 1

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

Popular Examples

monotone f(x)=4xsqrt(2x^2+4)monotone intervals

f (x) = 4 x 2 x^{2} + 4

parity x^{cos(x)}parity

x^{c o s (x)}

inverse of f(x)= 5/(x-2)inverse

f (x) = \frac{5}{x - 2}

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

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

line (-2,-4),(5,-2)line

(- 2, - 4), (5, - 2)

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+1))/(ln(3))