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Popular >

inverse of y=3^x

Solution

inverse

y = 3^{x}

Solution

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

Solution steps

y = 3^{x}

Replace

x

with

y

x = 3^{y}

Solve for

y, x = 3^{y}

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

Popular Examples

domain of 2(x-4)^2+3 domain

2 (x - 4)^{2} + 3

asymptotes of f(x)=4 asymptotes

f (x) = 4

distance (-9,-6),(-2,-2)distance

(- 9, - 6), (- 2, - 2)

critical 4x^3+48x^2+6x+3 critical points

4 x^{3} + 48 x^{2} + 6 x + 3

intercepts of f(x)=x^2-12x+36 intercepts

f (x) = x^{2} - 12 x + 36

Frequently Asked Questions (FAQ)

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