What is the answer to 16^x-3\times 4^x+2=0 ?

The answer to 16^x-3\times 4^x+2=0 is x= 1/2 ,x=0

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

1 6^{x} - 3 \cdot 4^{x} + 2 = 0

x = \frac{1}{2}, x = 0

Decimal

x = 0.5, x = 0

Solution steps

1 6^{x} - 3 \cdot 4^{x} + 2 = 0

Apply exponent rules

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

Rewrite the equation with

4^{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 = 4^{x},

solve for

x

Solve

4^{x} = 2 : x = \frac{1}{2}

Solve

4^{x} = 1 : x = 0

x = \frac{1}{2}, x = 0

2^{5 x} \cdot 2^{5 x} = 32

x, e^{a x} = C e^{b x}

e^{x + 7} = \frac{1}{e}

x, 2 = 5 e^{x} - 9 cos x

3^{x^{2}} = 7^{6 - x}

What is the answer to 16^x-3\times 4^x+2=0 ?
The answer to 16^x-3\times 4^x+2=0 is x= 1/2 ,x=0
Solve for x: 16^x-3\times 4^x+2=0
The solution is x= 1/2 ,x=0