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Popular >

inverse of f(x)=(1/5)^x

Solution

inverse

f (x) = (\frac{1}{5})^{x}

Solution

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

Solution steps

y = (\frac{1}{5})^{x}

Replace

x

with

y

x = (\frac{1}{5})^{y}

Solve for

y, x = (\frac{1}{5})^{y}

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

Popular Examples

inverse of 5x^2 inverse

5 x^{2}

domain of f(x)= 2/(x^2+2x-35)domain

f (x) = \frac{2}{x ^{2} + 2 x - 35}

extreme f(x)=(x-3)^{1/3}extreme points

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

domain of f(x)=sqrt(x)+7 domain

f (x) = x + 7

extreme f(x)=x^3+6x^2+9x extreme points

f (x) = x^{3} + 6 x^{2} + 9 x

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=(1/5)^x ?
The inverse of f(x)=(1/5)^x is -(ln(x))/(ln(5))