What is the answer to 8xln(x)+4x=0 ?

The answer to 8xln(x)+4x=0 is x= 1/(sqrt(e))

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8xln(x)+4x=0

Solution

8 x ln (x) + 4 x = 0

Solution

x = \frac{1}{e}

Decimal

x = 0.60653 \dots

Solution steps

8 x ln (x) + 4 x = 0

Move

4 x

to the right side

8 x ln (x) = - 4 x

Move

4 x

to the left side

8 x ln (x) + 4 x = 0

Factor

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

4 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

solvefor x,y^2=ln(x^2+y^2)solve for

x, y^{2} = ln (x^{2} + y^{2})

log_{8}(5-x)=log_{8}(6)

lo g_{8} (5 - x) = lo g_{8} (6)

solvefor x,ln(x)=ln(y)+b+ay solve for

x, ln (x) = ln (y) + b + a y

ln(4x-7)=ln(x+11)

ln (4 x - 7) = ln (x + 11)

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

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

Frequently Asked Questions (FAQ)

What is the answer to 8xln(x)+4x=0 ?
The answer to 8xln(x)+4x=0 is x= 1/(sqrt(e))
Solve for x: 8xln(x)+4x=0
The solution is x= 1/(sqrt(e))

8xln(x)+4x=0

Solution

Solution

Graph

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to 8xln(x)+4x=0 ?

Solve for x: 8xln(x)+4x=0