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Popular Functions >

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

Solution

inverse

f (x) = \frac{2}{lo g _{3} ( x )}

Solution

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

Solution steps

y = \frac{2}{lo g _{3} ( x )}

Replace

x

with

y

x = \frac{2}{lo g _{3} ( y )}

Solve for

y, x = \frac{2}{lo g _{3} ( y )}

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

Graph

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Frequently Asked Questions (FAQ)

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