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Popular Functions >

inverse of y=3^x-1

Solution

inverse

y = 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 )}

Graph

Popular Examples

asymptotes of f(x)=x^4-2x^2-8

a sy m pt o t es f (x) = x^{4} - 2 x^{2} - 8

distance (3,4),(11,17)

d i s t an ce (3, 4), (11, 17)

domain of f(x)=2sqrt(x)-x

d o main f (x) = 2 x - x

asymptotes of f(x)=(x^2)/(x^4-81)

a sy m pt o t es f (x) = \frac{x ^{2}}{x ^{4} - 81}

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

a sy m pt o t es f (x) = \frac{1 - x ^{2}}{2 x + 1}

Frequently Asked Questions (FAQ)

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