What is the answer to x^2=x*log_{10}(x) ?

The answer to x^2=x*log_{10}(x) is No Solution for x\in\mathbb{R}

Solve for x: x^2=x*log_{10}(x)

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

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x^{2} = x \cdot lo g_{10} (x)

No Solution for x \in R

Solution steps

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

Switch sides

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

Move

x^{2}

to the left side

x lo g_{10} (x) - x^{2} = 0

Factor

x lo g_{10} (x) - x^{2} : x (lo g_{10} (x) - x)

x (lo g_{10} (x) - x) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or lo g_{10} (x) - x = 0

Solve

lo g_{10} (x) - x = 0 :

No Solution for

x \in R

Verify Solutions:

x = 0

False

The solution is

No Solution for x \in R

\frac{1}{y} = ln (y)

lo g_{2} (\frac{3}{4} x + 4) = 6

x, ln (2 x + 3) = 7

- 4 lo g_{9} (7 v) = 0

lo g_{2} (x) = lo g_{2} (- 8)

What is the answer to x^2=x*log_{10}(x) ?
The answer to x^2=x*log_{10}(x) is No Solution for x\in\mathbb{R}
Solve for x: x^2=x*log_{10}(x)
The solution is No Solution for x\in\mathbb{R}