Algebra Examples

$\log (x - 15) + \log (x) = 2$

Step 1

Subtract $2$ from both sides of the equation.

$\log (x - 15) + \log (x) - 2 = 0$

Step 2

Simplify $\log (x - 15) + \log (x) - 2$ .

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Step 2.1

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

$\log ((x - 15) x) - 2 = 0$

Step 2.2

Simplify each term.

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Step 2.2.1

Apply the distributive property.

$\log (x \cdot x - 15 x) - 2 = 0$

Step 2.2.2

Multiply $x$ by $x$ .

$\log (x^{2} - 15 x) - 2 = 0$