Precalculus Examples

$\frac{\log (x^{2}) + \log (x^{4})}{\log (60 x)}$

Step 1

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

$\frac{\log (x^{2} x^{4})}{\log (60 x)}$

Step 2

Multiply $x^{2}$ by $x^{4}$ by adding the exponents.

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Step 2.1

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

$\frac{\log (x^{2 + 4})}{\log (60 x)}$

Step 2.2

Add $2$ and $4$ .

$\frac{\log (x^{6})}{\log (60 x)}$