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Home » Total successes: \( 32 + x \) - SUpost

Total successes: \( 32 + x \) - SUpost

📅 July 5, 2026 👤 scraface

Jul 05, 2026

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\(\int 2x^3 \, dx = rac{2}{4}x^4 = rac{1}{2}x^4\),
\(\int -4x \, dx = -2x^2\),
\(\int 1 \, dx = x\).
Combine: \(rac{1}{2}x^4 - 2x^2 + x + C\), where \(C\) is the constant...
#### \(rac{1}{2}x^4 - 2x^2 + x + C\)
If \(\log_2(x) + \log_2(8) = 5\), what is the value of \(x\)?
Use logarithmic identity: \(\log_2(x) + \log_2(8) = \log_2(8x)\).
So \(\log_2(8x) = 5\).
Convert to exponential form: \(8x = 2^5 = 32\).
\(8x = 32\) â \(x = rac{32}{8} = 4\).

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