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Popular >

inverse of f(x)=4^{x-2}

Solution

inverse

f (x) = 4^{x - 2}

Solution

\frac{ln ( x )}{2 ln ( 2 )} + 2

Solution steps

y = 4^{x - 2}

Replace

x

with

y

x = 4^{y - 2}

Solve for

y, x = 4^{y - 2}

\frac{ln ( x )}{2 ln ( 2 )} + 2

Popular Examples

range of x/((x+2)(x-3))range

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

domain of (x^3+1+x^2+x)/(|x+1|)domain

\frac{x ^{3} + 1 + x ^{2} + x}{∣ x + 1 ∣}

slope ofintercept (0)(6-2)slope intercept

(0) (6 - 2)

domain of f(x)=7-16t domain

f (x) = 7 - 16 t

domain of ln(x^2+7)domain

ln (x^{2} + 7)

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=4^{x-2} ?
The inverse of f(x)=4^{x-2} is (ln(x))/(2ln(2))+2