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Popular >

inverse of y=5^{x/3}

Solution

inverse

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

Solution

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

Popular Examples

slope ofintercept 16x-8y=17 slope intercept

16 x - 8 y = 17

periodicity of f(x)=-5sin(3/2 x)periodicity

f (x) = - 5 sin (\frac{3}{2} x)

symmetry x+1/(x+1)symmetry

x + \frac{1}{x + 1}

intercepts of x^3-10x-12 intercepts

x^{3} - 10 x - 12

amplitude of y=3sin(2x-pi)amplitude

y = 3 sin (2 x - π)

Frequently Asked Questions (FAQ)

What is the inverse of y=5^{x/3} ?
The inverse of y=5^{x/3} is (3ln(x))/(ln(5))