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Popular >

inverse of f(x)=2^{x/3}+4

Solution

inverse

f (x) = 2^{\frac{x}{3}} + 4

Solution

\frac{3 ln ( x - 4 )}{ln ( 2 )}

Solution steps

y = 2^{\frac{x}{3}} + 4

Replace

x

with

y

x = 2^{\frac{y}{3}} + 4

Solve for

y, x = 2^{\frac{y}{3}} + 4

\frac{3 ln ( x - 4 )}{ln ( 2 )}

Graph

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Frequently Asked Questions (FAQ)

What is the inverse of f(x)=2^{x/3}+4 ?
The inverse of f(x)=2^{x/3}+4 is (3ln(x-4))/(ln(2))