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Home / \log_2(x(x-4)) = 3 \Rightarrow x(x-4) = 2^3 = 8

\log_2(x(x-4)) = 3 \Rightarrow x(x-4) = 2^3 = 8

February 22, 2026

$\log_2(x(x-4)) = 3 \Rightarrow x(x-4) = 2^3 = 8$

Related Articles

#### #### 62
If \( \log_2(x) + \log_2(x - 4) = 3 \), find \( x \).
Using the property: \(\log_b(m) + \log_b(n) = \log_b(mn)\):
x^2 - 4x - 8 = 0
Using the quadratic formula:
x = \frac{-(-4) \pm \sqrt{(-4)^2 - 4 \times 1 \times (-8)}}{2 \times 1}

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