What is the answer to 2xln(x)+x=0 ?

The answer to 2xln(x)+x=0 is x= 1/(sqrt(e))

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Popular >

2xln(x)+x=0

Solution

2 x ln (x) + x = 0

Solution

x = \frac{1}{e}

Decimal

x = 0.60653 \dots

Solution steps

2 x ln (x) + x = 0

Move

x

to the right side

2 x ln (x) = - x

Move

x

to the left side

2 x ln (x) + x = 0

Factor

2 x ln (x) + x : x (2 ln (x) + 1)

x (2 ln (x) + 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 2 ln (x) + 1 = 0

Solve

2 ln (x) + 1 = 0 : x = \frac{1}{e}

Verify Solutions:

x = 0

False

, x = \frac{1}{e}

True

The solution is

x = \frac{1}{e}

Graph

Popular Examples

roots log_{b}(x)roots

lo g_{b} (x)

2log_{10}(x-1)=log_{10}(2x+2)

2 lo g_{10} (x - 1) = lo g_{10} (2 x + 2)

log_{10}(x-2)+log_{10}(12-x)=0

lo g_{10} (x - 2) + lo g_{10} (12 - x) = 0

log_{x}(25)=4

lo g_{x} (25) = 4

log_{10}(x)=3

lo g_{10} (x) = 3

Frequently Asked Questions (FAQ)

What is the answer to 2xln(x)+x=0 ?
The answer to 2xln(x)+x=0 is x= 1/(sqrt(e))
Solve for x: 2xln(x)+x=0
The solution is x= 1/(sqrt(e))

2xln(x)+x=0

Solution

Solution

Graph

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to 2xln(x)+x=0 ?

Solve for x: 2xln(x)+x=0