Precalculus Examples

$\log_{6} (x - 1) + \log_{6} (x) - 1$

Step 1

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

$\log_{6} ((x - 1) x) - 1$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$\log_{6} (x \cdot x - 1 x) - 1$

Step 2.2

Multiply $x$ by $x$ .

$\log_{6} (x^{2} - 1 x) - 1$

Step 2.3

Rewrite $- 1 x$ as $- x$ .

$\log_{6} (x^{2} - x) - 1$