What is the answer to 4xln(x)+2x=0 ?

The answer to 4xln(x)+2x=0 is x= 1/(sqrt(e))

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Popular >

4xln(x)+2x=0

Solution

4 x ln (x) + 2 x = 0

Solution

x = \frac{1}{e}

Decimal

x = 0.60653 \dots

Solution steps

4 x ln (x) + 2 x = 0

Move

2 x

to the right side

4 x ln (x) = - 2 x

Move

2 x

to the left side

4 x ln (x) + 2 x = 0

Factor

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

2 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

log_{2}(x-5)=3

lo g_{2} (x - 5) = 3

log_{6}(x)=1-log_{6}(x-5)

lo g_{6} (x) = 1 - lo g_{6} (x - 5)

7^{xlog_{7}(x-2)}=x-2

7^{x l o g_{7} (x - 2)} = x - 2

log_{x}(1296)=4

lo g_{x} (1296) = 4

-2ln(x)+1=0

- 2 ln (x) + 1 = 0

Frequently Asked Questions (FAQ)

What is the answer to 4xln(x)+2x=0 ?
The answer to 4xln(x)+2x=0 is x= 1/(sqrt(e))
Solve for x: 4xln(x)+2x=0
The solution is x= 1/(sqrt(e))

4xln(x)+2x=0

Solution

Solution

Graph

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to 4xln(x)+2x=0 ?

Solve for x: 4xln(x)+2x=0