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Popular >

inverse of f(x)=6^{x/4}

Solution

inverse

f (x) = 6^{\frac{x}{4}}

Solution

\frac{4 ln ( x )}{ln ( 6 )}

Solution steps

y = 6^{\frac{x}{4}}

Replace

x

with

y

x = 6^{\frac{y}{4}}

Solve for

y, x = 6^{\frac{y}{4}}

\frac{4 ln ( x )}{ln ( 6 )}

Popular Examples

domain of f(x)=log_{5}(x)-5 domain

f (x) = lo g_{5} (x) - 5

domain of f(x)=(x+6)/(x-7)domain

f (x) = \frac{x + 6}{x - 7}

y = arcsin (x)

domain of f(x)=(x-3)^2-2 domain

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

extreme f(x)=3x^5-4x^3-3x extreme points

f (x) = 3 x^{5} - 4 x^{3} - 3 x

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=6^{x/4} ?
The inverse of f(x)=6^{x/4} is (4ln(x))/(ln(6))