What is the answer to x^4+5x^4ln(x)=0 ?

The answer to x^4+5x^4ln(x)=0 is x= 1/(\sqrt[5]{e)}

Solve for x: x^4+5x^4ln(x)=0

The solution is x= 1/(\sqrt[5]{e)}

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x^{4} + 5 x^{4} ln (x) = 0

x = \frac{1}{5 e}

Decimal

x = 0.81873 \dots

Solution steps

x^{4} + 5 x^{4} ln (x) = 0

Move

x^{4}

to the right side

5 x^{4} ln (x) = - x^{4}

Move

x^{4}

to the left side

5 x^{4} ln (x) + x^{4} = 0

Factor

5 x^{4} ln (x) + x^{4} : x^{4} (5 ln (x) + 1)

x^{4} (5 ln (x) + 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 5 ln (x) + 1 = 0

Solve

5 ln (x) + 1 = 0 : x = \frac{1}{5 e}

Verify Solutions:

x = 0

False

, x = \frac{1}{5 e}

True

The solution is

x = \frac{1}{5 e}

t, x = ln (6 t)

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

lo g_{x} (x^{5} + x - 1) = 5

ln (x (x + 3)^{2}) = 3

lo g_{3} (a) = - 5

What is the answer to x^4+5x^4ln(x)=0 ?
The answer to x^4+5x^4ln(x)=0 is x= 1/(\sqrt[5]{e)}
Solve for x: x^4+5x^4ln(x)=0
The solution is x= 1/(\sqrt[5]{e)}