Trigonometry Examples

$\log (2) x + \log (2 (x - 2)) = 3$

Step 1

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

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$\log (2) x + \log (2 x + 2 \cdot - 2) = 3$

Step 1.1.2

Multiply $2$ by $- 2$ .

$\log (2) x + \log (2 x - 4) = 3$

Step 1.2

Reorder factors in $\log (2) x + \log (2 x - 4)$ .

$x \log (2) + \log (2 x - 4) = 3$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x \approx 6.72536002$

Step 3