Finite Math Examples

$x^{\log (x)} < 0.01 x^{3}$

Step 1

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x = 10$

Step 2

Find the domain of $x^{\log (x)} - 0.01 x^{3}$ .

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Step 2.1

Set the argument in $\log (x)$ greater than $0$ to find where the expression is defined.

$x > 0$

Step 2.2

The domain is all values of $x$ that make the expression defined.

$(0, \infty)$

Step 3

The solution consists of all of the true intervals.

$x > 10$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x > 10$

Interval Notation:

$(10, \infty)$

Step 5