Precalculus Examples

$\log_{3} (x + 12) = \log (x) + \log (12)$

Step 1

Simplify $\log (x) + \log (12)$ .

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Step 1.1

Use the product property of logarithms, $\log_{b} (x) + \log_{b} (y) = \log_{b} (x y)$ .

$\log_{3} (x + 12) = \log (x \cdot 12)$

Step 1.2

Move $12$ to the left of $x$ .

$\log_{3} (x + 12) = \log (12 x)$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

No solution