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Home » \[ 24 = 2^3 \times 3 \] - DNSFLEX

\[ 24 = 2^3 \times 3 \] - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 If \( \log_2(x) + \log_2(8) = 5 \), what is the value of \( x \)?

📌 Use the property: \( \log_2(x) + \log_2(8) = \log_2(8x) \).

📌 So, \( \log_2(8x) = 5 \).

📌 Convert to exponential form: \( 8x = 2^5 \).

📌 Calculate \( 2^5 = 32 \).

📌 Solve for \( x \): \( 8x = 32 \) implies \( x = 4 \).

📌 A mixture contains 20% alcohol and the rest water. If 10 liters of water are added to 30 liters of this mixture, what is the new percentage of alcohol?

📌 Original alcohol = \( 0.2 \times 30 = 6 \) liters.

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