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Home » 7 Deadly Sins You WISH You Knew—Shocking Names That Shocked History! - AssociationVoting

7 Deadly Sins You WISH You Knew—Shocking Names That Shocked History! - AssociationVoting

📅 May 18, 2026 👤 scraface

May 18, 2026

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Dividing is multiplying by reciprocal:
\( \frac{3x(x - 4)}{(x - 2)(x + 2)} \times \frac{x + 2}{3x} = \frac{x...
#### \( \frac{x - 4}{x - 2} \)
If \( \log_2(x) + \log_2(x - 2) = 3 \), what is the value of \( x \)?
\( \log_2(x(x - 2)) = 3 \) → \( x(x - 2) = 2^3 = 8 \).
\( x^2 - 2x - 8 = 0 \) → \( (x - 4)(x + 2) = 0 \).
\( x = 4 \) (since \( x > 2 \) for log to be defined).
The graph of \( y = a \cdot 2^x \) passes through the points $ (0, 3)...
At \( x = 0 \): \( y = a \cdot 2^0 = a = 3 \).
Check with \( x = 2 \): \( y = 3 \cdot 2^2 = 12 \), which matches.

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