What is the answer to 4^x-3\times 2^x+2=0 ?

The answer to 4^x-3\times 2^x+2=0 is x=1,x=0

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4^x-3\times 2^x+2=0

4^{x} - 3 \cdot 2^{x} + 2 = 0

x = 1, x = 0

Solution steps

4^{x} - 3 \cdot 2^{x} + 2 = 0

Apply exponent rules

(2^{x})^{2} - 3 \cdot 2^{x} + 2 = 0

Rewrite the equation with

2^{x} = u

(u)^{2} - 3 u + 2 = 0

Solve

u^{2} - 3 u + 2 = 0 : u = 2, u = 1

u = 2, u = 1

Substitute back

u = 2^{x},

solve for

x

Solve

2^{x} = 2 : x = 1

Solve

2^{x} = 1 : x = 0

x = 1, x = 0

(0.5)^{2 x} = 2^{1 - 3 x}

3^{2 x + 1} + 4 (3^{x}) - 15 = 0

5^{x} = - 25

25 6^{- 5} = 4^{x - 4}

40000 = 30000 \times (1 + 0.04)^{x}

What is the answer to 4^x-3\times 2^x+2=0 ?
The answer to 4^x-3\times 2^x+2=0 is x=1,x=0
Solve for x: 4^x-3\times 2^x+2=0
The solution is x=1,x=0