Trigonometry Examples

$\frac{1}{2} \cdot \log (x) + 3 \log (x + 1)$

Step 1

Simplify each term.

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Simplify $\frac{1}{2} \log (x)$ by moving $\frac{1}{2}$ inside the logarithm.

$\log (x^{\frac{1}{2}}) + 3 \log (x + 1)$

Simplify $3 \log (x + 1)$ by moving $3$ inside the logarithm.

$\log (x^{\frac{1}{2}}) + \log ({(x + 1)}^{3})$

Step 2

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

$\log (x^{\frac{1}{2}} {(x + 1)}^{3})$