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Popular >

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

Solution

inverse

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

Solution

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

Solution steps

y = 3 lo g_{2} (x)

Replace

x

with

y

x = 3 lo g_{2} (y)

Solve for

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

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

Popular Examples

inverse of e^{x-1}inverse

e^{x - 1}

domain of f(x)= 1/5 x+2 domain

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

inverse of f(x)=15x-15 inverse

f (x) = 15 x - 15

domain of f(x)=3x^4 domain

f (x) = 3 x^{4}

range of x^4-2x^3-x^2-2x range

x^{4} - 2 x^{3} - x^{2} - 2 x

Frequently Asked Questions (FAQ)

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