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Home » If \(\log_b(64) = 3\), find \(b\). - Dachbleche24

If \(\log_b(64) = 3\), find \(b\). - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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Using \( v = u - gt \), where \( v = 0 \), \( u = 20 \), \( g = 10 \):
\( 0 = 20 - 10t \Rightarrow t = 2 \) seconds.
A rectangular garden measuring 20 meters by 15 meters is surrounded by...
Total length including path: \( 20 + 2x \), total width: \( 15 + 2x \)
Total area: \( (20 + 2x)(15 + 2x) = 504 \)
Expand: \( 300 + 40x + 30x + 4x^2 = 504 \)
\( 4x^2 + 70x + 300 = 504 \Rightarrow 4x^2 + 70x - 204 = 0 \)
Divide by 2: \( 2x^2 + 35x - 102 = 0 \)
\( x = rac{-35 \pm \sqrt{35^2 - 4(2)(-102)}}{2(2)} \)
\( x = rac{-35 \pm \sqrt{1225 + 816}}{4} = rac{-35 \pm \sqrt{2041}}{...

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Alternative common model: total growth = integral of linear increase i...
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