Precalculus Examples

$3 \log (x) + \log ({(x)}^{2})$

Step 1

Simplify $3 \log (x)$ by moving $3$ inside the logarithm.

$\log (x^{3}) + \log (x^{2})$

Step 2

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

$\log (x^{3} x^{2})$

Step 3

Multiply $x^{3}$ by $x^{2}$ by adding the exponents.

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Step 3.1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\log (x^{3 + 2})$

Step 3.2

Add $3$ and $2$ .

$\log (x^{5})$