Find the Asymptotes y = log of -7x

$y = \log (- 7 x)$

Step 1

Set the argument of the logarithm equal to zero.

$- 7 x = 0$

Step 2

Divide each term in $- 7 x = 0$ by $- 7$ and simplify.

Divide each term in $- 7 x = 0$ by $- 7$ .

$\frac{- 7 x}{- 7} = \frac{0}{- 7}$

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

$\frac{- 7 x}{- 7} = \frac{0}{- 7}$

Divide $x$ by $1$ .

$x = \frac{0}{- 7}$

Simplify the right side.

Divide $0$ by $- 7$ .

$x = 0$

Step 3

The vertical asymptote occurs at $x = 0$ .

Vertical Asymptote: $x = 0$

Step 4