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Popular Functions >

inverse of f(x)=5^{x/2}-7

Solution

inverse

f (x) = 5^{\frac{x}{2}} - 7

Solution

\frac{2 ln ( x + 7 )}{ln ( 5 )}

Solution steps

y = 5^{\frac{x}{2}} - 7

Replace

x

with

y

x = 5^{\frac{y}{2}} - 7

Solve for

y, x = 5^{\frac{y}{2}} - 7

\frac{2 ln ( x + 7 )}{ln ( 5 )}

Graph

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Frequently Asked Questions (FAQ)

What is the inverse of f(x)=5^{x/2}-7 ?
The inverse of f(x)=5^{x/2}-7 is (2ln(x+7))/(ln(5))