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Home » Use distributive property (FOIL-like expansion): - Leaselab

Use distributive property (FOIL-like expansion): - Leaselab

📅 February 26, 2026 👤 scraface

Feb 26, 2026

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📝 Recent Posts

\( d = \frac{100}{45} = \frac{20}{9} \)
#### \(\frac{20}{9}\)
If \( \log_2(x) + \log_2(x-1) = 3 \), find the value of \( x \).
Using log properties: \( \log_2(x(x-1)) = 3 \)
\( x(x-1) = 2^3 = 8 \)
\( x^2 - x - 8 = 0 \)
Solving using the quadratic formula: \( x = \frac{-b \pm \sqrt{b^2 - 4...
\( x = \frac{1 \pm \sqrt{1 + 32}}{2} = \frac{1 \pm \sqrt{33}}{2} \)
Since \( x > 1 \), \( x = \frac{1 + \sqrt{33}}{2} \)
#### \(\frac{1 + \sqrt{33}}{2}\)

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