What is the answer to log_{10}(x)(x^2)=x^3 ?

The answer to log_{10}(x)(x^2)=x^3 is No Solution for x\in\mathbb{R}

Solve for x: log_{10}(x)(x^2)=x^3

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

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lo g_{10} (x) (x^{2}) = x^{3}

No Solution for x \in R

Solution steps

lo g_{10} (x) (x^{2}) = x^{3}

Move

x^{3}

to the left side

lo g_{10} (x) x^{2} - x^{3} = 0

Factor

lo g_{10} (x) x^{2} - x^{3} : x^{2} (lo g_{10} (x) - x)

x^{2} (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

x^{2 l o g_{x} (x + 1)} = 5 x - 1

lo g_{3} (x - x - 5) - lo g_{3} (x) = 1

ln (2 x - 3) = 0

ln (2 x - 3) = 4

ln (3 x - 7) = 2

What is the answer to log_{10}(x)(x^2)=x^3 ?
The answer to log_{10}(x)(x^2)=x^3 is No Solution for x\in\mathbb{R}
Solve for x: log_{10}(x)(x^2)=x^3
The solution is No Solution for x\in\mathbb{R}