What is the answer to x^2-6xln(x)=0 ?

The answer to x^2-6xln(x)=0 is x=-6\W_{-1}(-1/6),x=-6\W_{0}(-1/6)

Solve for x: x^2-6xln(x)=0

The solution is x=-6\W_{-1}(-1/6),x=-6\W_{0}(-1/6)

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x^{2} - 6 x ln (x) = 0

x = - 6 W_{- 1} (- \frac{1}{6}), x = - 6 W_{0} (- \frac{1}{6})

Decimal Notation

x = 16.99888 \dots, x = 1.22688 \dots

Solution steps

x^{2} - 6 x ln (x) = 0

Move

x^{2}

to the right side

- 6 x ln (x) = - x^{2}

Move

x^{2}

to the left side

- 6 x ln (x) + x^{2} = 0

Factor

- 6 x ln (x) + x^{2} : x (- 6 ln (x) + x)

x (- 6 ln (x) + x) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or - 6 ln (x) + x = 0

Solve

- 6 ln (x) + x = 0 : x = - 6 W_{- 1} (- \frac{1}{6}), x = - 6 W_{0} (- \frac{1}{6})

Verify Solutions:

x = 0

False

, x = - 6 W_{- 1} (- \frac{1}{6})

True

, x = - 6 W_{0} (- \frac{1}{6})

True

The solutions are

x = - 6 W_{- 1} (- \frac{1}{6}), x = - 6 W_{0} (- \frac{1}{6})

lo g_{10} (22.46) = lo g_{10} (x)

3 lo g_{4} (x) = lo g_{4} (343)

ln (x) = ln (10) - ln (15)

5 ln (2) - ln (8) = - ln (x)

y, 0.41 = ln (y)

What is the answer to x^2-6xln(x)=0 ?
The answer to x^2-6xln(x)=0 is x=-6\W_{-1}(-1/6),x=-6\W_{0}(-1/6)
Solve for x: x^2-6xln(x)=0
The solution is x=-6\W_{-1}(-1/6),x=-6\W_{0}(-1/6)