What is the answer to 4*2^x=2x*2^x ?

The answer to 4*2^x=2x*2^x is x=2

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42^x=2x2^x

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Solution

4 \cdot 2^{x} = 2 x \cdot 2^{x}

Solution

x = 2

Solution steps

4 \cdot 2^{x} = 2 x \cdot 2^{x}

Apply exponent rules

4 \cdot 2^{x} = x \cdot 2^{x + 1}

Subtract

x 2^{x + 1}

from both sides

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

Simplify

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

Factor

4 \cdot 2^{x} - x \cdot 2^{x + 1} : 2^{1 + x} (2 - x)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

2^{1 + x} = 0 or 2 - x = 0

Solve

2^{1 + x} = 0 :

No Solution for

x \in R

Solve

2 - x = 0 : x = 2

x = 2

Popular Examples

2^x*3^{x-1}=72

2^{x} \cdot 3^{x - 1} = 72

e^y=-y

e^{y} = - y

8^r=63

8^{r} = 63

2^{x+1}*4^{x+3}=16

2^{x + 1} \cdot 4^{x + 3} = 16

4^{x+1}=8^x

4^{x + 1} = 8^{x}

Frequently Asked Questions (FAQ)

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

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to 42^x=2x2^x ?

Solve for x: 42^x=2x2^x

4*2^x=2x*2^x

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to 4*2^x=2x*2^x ?

Solve for x: 4*2^x=2x*2^x

42^x=2x2^x

What is the answer to 42^x=2x2^x ?

Solve for x: 42^x=2x2^x