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Home » \[ \binom62 = \frac6 \times 52 \times 1 = 15 \] - Dachbleche24

\[ \binom62 = \frac6 \times 52 \times 1 = 15 \] - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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Solve for \( x \) in the equation \( \log_2(x+1) + \log_2(x-1) = 3 \).
Combine logs: \( \log_2((x+1)(x-1)) = 3 \).
So, \( (x+1)(x-1) = 2^3 = 8 \).
Then \( x^2 - 1 = 8 \).
\( x^2 = 9 \), so \( x = \pm 3 \).
Since \( x-1 > 0 \), \( x > 1 \), thus \( x = 3 \).
The function \( f(x) = rac{2x^2 - 3x + 1}{x - 1} \) has a removable d...
Factor numerator: \( 2x^2 - 3x + 1 = (2x - 1)(x - 1) \).
So \( f(x) = rac{(2x - 1)(x - 1)}{x - 1} = 2x - 1 \) for \( x
Removing discontinuity, \( f(1) = 2(1) - 1 = 1 \).

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