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Popular >

inverse of y=10^{x/5}

Solution

inverse

y = 1 0^{\frac{x}{5}}

Solution

\frac{5 ln ( x )}{ln ( 10 )}

Solution steps

y = 1 0^{\frac{x}{5}}

Replace

x

with

y

x = 1 0^{\frac{y}{5}}

Solve for

y, x = 1 0^{\frac{y}{5}}

\frac{5 ln ( x )}{ln ( 10 )}

Popular Examples

domain of 1/(3x+9)domain

\frac{1}{3 x + 9}

critical f(x)=x^3+3x^2-144x critical points

f (x) = x^{3} + 3 x^{2} - 144 x

midpoint (1,-19),(1,9)midpoint

(1, - 19), (1, 9)

domain of (x-2)/(2x^2)domain

\frac{x - 2}{2 x ^{2}}

domain of (2(x+6))/(3x)domain

\frac{2 ( x + 6 )}{3 x}

Frequently Asked Questions (FAQ)

What is the inverse of y=10^{x/5} ?
The inverse of y=10^{x/5} is (5ln(x))/(ln(10))