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Popular >

inverse of f(x)=a^x

Solution

inverse

f (x) = a^{x}

Solution

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

Solution steps

y = a^{x}

Replace

x

with

y

x = a^{y}

Solve for

y, x = a^{y}

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

Popular Examples

extreme f(x)=x+(16)/x extreme points

f (x) = x + \frac{16}{x}

inverse of y=ln(3x)inverse

y = ln (3 x)

domain of f(x)=(sqrt(2-x))/(x^2+4x)domain

f (x) = \frac{2 - x}{x ^{2} + 4 x}

f (x) = ln (x)

shift f(x)=6cos(3x+pi/2)shift

f (x) = 6 cos (3 x + \frac{π}{2})

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=a^x ?
The inverse of f(x)=a^x is (ln(x))/(ln(a))