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Popular >

inverse of h(x)=5^x

Solution

inverse

h (x) = 5^{x}

Solution

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

Solution steps

y = 5^{x}

Replace

x

with

y

x = 5^{y}

Solve for

y, x = 5^{y}

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

Popular Examples

domain of f(x)=(x-3)/(x^2+9x-22)domain

f (x) = \frac{x - 3}{x ^{2} + 9 x - 22}

y = 3

range of (sqrt(x-5))/(x-10)range

\frac{x - 5}{x - 10}

domain of sqrt(x^2-x+1)domain

x^{2} - x + 1

monotone f(x)= x/(1+x^2)monotone intervals

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

Frequently Asked Questions (FAQ)

What is the inverse of h(x)=5^x ?
The inverse of h(x)=5^x is (ln(x))/(ln(5))