Precalculus Examples

$y = - 3 x^{2}$

Step 1

Simplify.

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Step 1.1

Divide each term in $y = - 3 x^{2}$ by $- 3$ .

$\frac{y}{- 3} = \frac{- 3 x^{2}}{- 3}$

Step 1.2

Move the negative in front of the fraction.

$- \frac{y}{3}$

Step 1.3

Reduce by cancelling the common factors.

$- \frac{y}{3} = x^{2}$

Step 2

Convert the exponential equation to a logarithmic equation using the logarithm base $(x)$ of the left side $(- \frac{y}{3})$ equals the exponent $(2)$ .

$\log_{x} (- \frac{y}{3}) = 2$