What is the answer to 2*4^x-5*2^x+2=0 ?

The answer to 2*4^x-5*2^x+2=0 is x=1,x=-1

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24^x-52^x+2=0

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Conversions

Solution

2 \cdot 4^{x} - 5 \cdot 2^{x} + 2 = 0

Solution

x = 1, x = - 1

Solution steps

2 \cdot 4^{x} - 5 \cdot 2^{x} + 2 = 0

Apply exponent rules

(2^{x})^{2} \cdot 2^{1} - 5 \cdot 2^{x} + 2 = 0

Rewrite the equation with

2^{x} = u

(u)^{2} \cdot 2^{1} - 5 u + 2 = 0

Solve

u^{2} \cdot 2^{1} - 5 u + 2 = 0 : u = 2, u = \frac{1}{2}

u = 2, u = \frac{1}{2}

Substitute back

u = 2^{x},

solve for

x

Solve

2^{x} = 2 : x = 1

Solve

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

x = 1, x = - 1

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3^{2 x - 4} = 9^{2 x - 2}

5^{x-1}=3^{x+1}

5^{x - 1} = 3^{x + 1}

Frequently Asked Questions (FAQ)

What is the answer to 2*4^x-5*2^x+2=0 ?
The answer to 2*4^x-5*2^x+2=0 is x=1,x=-1
Solve for x: 2*4^x-5*2^x+2=0
The solution is x=1,x=-1

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to 24^x-52^x+2=0 ?

Solve for x: 24^x-52^x+2=0

2*4^x-5*2^x+2=0

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to 2*4^x-5*2^x+2=0 ?

Solve for x: 2*4^x-5*2^x+2=0

24^x-52^x+2=0

What is the answer to 24^x-52^x+2=0 ?

Solve for x: 24^x-52^x+2=0