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Popular >

inverse of f(x)=log_{3}(2x)

Solution

inverse

f (x) = lo g_{3} (2 x)

Solution

\frac{3 ^{x}}{2}

Solution steps

y = lo g_{3} (2 x)

Replace

x

with

y

x = lo g_{3} (2 y)

Solve for

y, x = lo g_{3} (2 y)

\frac{3 ^{x}}{2}

Popular Examples

monotone f(x)=2x^3+3x^2-180x monotone intervals

f (x) = 2 x^{3} + 3 x^{2} - 180 x

asymptotes of 2^{x+2}+2 asymptotes

2^{x + 2} + 2

inverse of f(x)=-2/3 x+3 inverse

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

inverse of f(x)=sqrt(x+8)-4 inverse

f (x) = x + 8 - 4

domain of f(x)=x^2+3x+2 domain

f (x) = x^{2} + 3 x + 2

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=log_{3}(2x) ?
The inverse of f(x)=log_{3}(2x) is (3^x)/2