Algebra Examples

$y = \log (- 2 x)$

Step 1

Set the argument of the logarithm equal to zero.

$- 2 x = 0$

Step 2

Divide each term in $- 2 x = 0$ by $- 2$ and simplify.

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Step 2.1

Divide each term in $- 2 x = 0$ by $- 2$ .

$\frac{- 2 x}{- 2} = \frac{0}{- 2}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 2$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 2 x}{- 2} = \frac{0}{- 2}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{0}{- 2}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $0$ by $- 2$ .

$x = 0$

Step 3

The vertical asymptote occurs at $x = 0$ .

Vertical Asymptote: $x = 0$

Step 4