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Popular >

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

Solution

inverse

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

Solution

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

Popular Examples

inflection f(x)=sqrt(x+7)inflection points

f (x) = x + 7

slope of y=4x-3 slope

y = 4 x - 3

domain of f(x)=sqrt(16+x^2)domain

f (x) = 16 + x^{2}

simplify (1.9)(1.3)simplify

(1.9) (1.3)

critical f(x)= x/(x^2+49)critical points

f (x) = \frac{x}{x ^{2} + 49}

Frequently Asked Questions (FAQ)

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