Trigonometry Examples

$\ln (y) = \ln (3 x^{2})$

Step 1

For the equation to be equal, the argument of the logarithms on both sides of the equation must be equal.

$y = 3 x^{2}$

Step 2

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

$(- \infty, \infty)$

Set-Builder Notation:

${x | x \in ℝ}$

Step 3

Since the domain is all real numbers, $3 x^{2}$ is continuous over all real numbers.

Continuous

Step 4