What is the answer to x^2=xlog_{2}(x) ?

The answer to x^2=xlog_{2}(x) is No Solution for x\in\mathbb{R}

Solve for x: x^2=xlog_{2}(x)

The solution is No Solution for x\in\mathbb{R}

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x^{2} = x lo g_{2} (x)

No Solution for x \in R

Solution steps

x^{2} = x lo g_{2} (x)

Switch sides

x lo g_{2} (x) = x^{2}

Move

x^{2}

to the left side

x lo g_{2} (x) - x^{2} = 0

Factor

x lo g_{2} (x) - x^{2} : x (lo g_{2} (x) - x)

x (lo g_{2} (x) - x) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or lo g_{2} (x) - x = 0

Solve

lo g_{2} (x) - x = 0 :

No Solution for

x \in R

Verify Solutions:

x = 0

False

The solution is

No Solution for x \in R

lo g_{10} (x) = 0.0455

ln (x + 31) - ln (3 - 2 x) = 5 ln (2)

lo g_{e} (\frac{4}{x}) = - 2

9.301 = - lo g_{10} (x)

3 lo g_{10} (x + 2) = 9

What is the answer to x^2=xlog_{2}(x) ?
The answer to x^2=xlog_{2}(x) is No Solution for x\in\mathbb{R}
Solve for x: x^2=xlog_{2}(x)
The solution is No Solution for x\in\mathbb{R}