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Popular >

inverse of f(x)=3^x 1/5

Solution

inverse

f (x) = 3^{x} \frac{1}{5}

Solution

\frac{ln ( 5 x )}{ln ( 3 )}

Solution steps

y = 3^{x} \cdot \frac{1}{5}

Replace

x

with

y

x = 3^{y} \cdot \frac{1}{5}

Solve for

y, x = 3^{y} \frac{1}{5}

\frac{ln ( 5 x )}{ln ( 3 )}

Graph

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Frequently Asked Questions (FAQ)

What is the inverse of f(x)=3^x 1/5 ?
The inverse of f(x)=3^x 1/5 is (ln(5x))/(ln(3))