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Popular >

4^x-2^x=56

Solution

4^{x} - 2^{x} = 56

Solution

x = 3

Solution steps

4^{x} - 2^{x} = 56

Apply exponent rules

(2^{x})^{2} - 2^{x} = 56

Rewrite the equation with

2^{x} = u

(u)^{2} - u = 56

Solve

u^{2} - u = 56 : u = 8, u = - 7

u = 8, u = - 7

Substitute back

u = 2^{x},

solve for

x

Solve

2^{x} = 8 : x = 3

Solve

2^{x} = - 7 :

No Solution for

x \in R

x = 3

Popular Examples

2 x + 3^{x} = 13

(9/7)^3*(49/81)^{2x-6}=(7/9)^9

(\frac{9}{7})^{3} \cdot (\frac{49}{81})^{2 x - 6} = (\frac{7}{9})^{9}

(x/(10))-20.89*e^{(-x)/((2478.82))}=0

(\frac{x}{10}) - 20.89 \cdot e^{\frac{- x}{( 2478.82 )}} = 0

solvefor x,p^2-p(e^x+e^{-x})+1=0 solve for

x, p^{2} - p (e^{x} + e^{- x}) + 1 = 0

2^{n - 1} = 16

Frequently Asked Questions (FAQ)

What is the answer to 4^x-2^x=56 ?
The answer to 4^x-2^x=56 is x=3
Solve for x: 4^x-2^x=56
The solution is x=3