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Home » Substitute \( c = 20 \) back into Equation 1: - Tacotoon

Substitute \( c = 20 \) back into Equation 1: - Tacotoon

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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The equation \( \log_2(x - 1) + \log_2(x + 1) = 3 \) has a solution. W...
Using logarithmic identity: \( \log_2[(x - 1)(x + 1)] = 3 \Rightarrow...
So, \( x^2 - 1 = 2^3 = 8 \Rightarrow x^2 = 9 \Rightarrow x = \pm 3 \).
Check domain: arguments of logs must be positive.
If \( x = -3 \), then \( x - 1 = -4 < 0 \), invalid.
If \( x = 3 \), then \( x - 1 = 2 > 0 \), valid.
Thus, the only solution is \( x = 3 \).
A quadratic function passes through the points (1, 4), (2, 3), and (4,...
Let the quadratic be \( f(x) = ax^2 + bx + c \).

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