What is the answer to 2^{2x}-10*2^x+2^4=0 ?

The answer to 2^{2x}-10*2^x+2^4=0 is x=3,x=1

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2^{2x}-10*2^x+2^4=0

2^{2 x} - 10 \cdot 2^{x} + 2^{4} = 0

x = 3, x = 1

Solution steps

2^{2 x} - 10 \cdot 2^{x} + 2^{4} = 0

Apply exponent rules

(2^{x})^{2} - 10 \cdot 2^{x} + 2^{4} = 0

Rewrite the equation with

2^{x} = u

(u)^{2} - 10 u + 2^{4} = 0

Solve

u^{2} - 10 u + 2^{4} = 0 : u = 8, u = 2

u = 8, u = 2

Substitute back

u = 2^{x},

solve for

x

Solve

2^{x} = 8 : x = 3

Solve

2^{x} = 2 : x = 1

x = 3, x = 1

27 (3^{2 x}) + 134 (3^{x}) - 5 = 0

2 = 1.0 8^{x}

4^{x - 3} = 2^{x - 1}

e^{x + 2} = k - 2

2 7^{2 x + 2} = 8 1^{5 - x}

What is the answer to 2^{2x}-10*2^x+2^4=0 ?
The answer to 2^{2x}-10*2^x+2^4=0 is x=3,x=1
Solve for x: 2^{2x}-10*2^x+2^4=0
The solution is x=3,x=1