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Popular >

inverse of 2^{x/5}

Solution

inverse

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

critical-2x^2+4x+8 critical points

- 2 x^{2} + 4 x + 8

domain of f(x)=ln(4-x^2)domain

f (x) = ln (4 - x^{2})

inverse of (x+9)^3 inverse

(x + 9)^{3}

slope of y=4x-5/2 slope

y = 4 x - \frac{5}{2}

domain of f(x)=(x-2)/((x+3)sqrt(1-x))domain

f (x) = \frac{x - 2}{( x + 3 ) 1 - x}

Frequently Asked Questions (FAQ)

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