Precalculus Examples

$y = - 3^{X + 1}$

Step 1

Simplify.

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Step 1.1

Divide each term in $y = - 3^{X + 1}$ by $- 1$ .

$\frac{y}{- 1} = \frac{- 3^{X + 1}}{- 1}$

Step 1.2

Move the negative one from the denominator of $\frac{y}{- 1}$ .

$- 1 \cdot y$

Step 1.3

Rewrite $- 1 \cdot y$ as $- y$ .

$- y$

Step 1.4

Reduce by cancelling the common factors.

$- y = 3^{X + 1}$

Step 2

Convert the exponential equation to a logarithmic equation using the logarithm base $(3)$ of the left side $(- y)$ equals the exponent $(X + 1)$ .

$\log_{3} (- y) = X + 1$