ACT Math Practice Question #2039 (Hard (620)) | Test Citadel
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ACT Math Difficulty: Hard (620)

Digital ACT Math Practice Question #2039

Test your problem-solving accuracy on this official-caliber item. Select an answer choice to check your reasoning instantly.

If log_2(x) + log_2(x + 3) = 2, what is the real value of x?
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Test choices: x = 1 gives log_2(1) + log_2(4) = 2.

Masterclass Solution & Distractor Trap Analysis

Combine logarithms: log_2(x(x + 3)) = 2. Convert to exponential form: x^2 + 3x = 2^2 = 4. Solving the quadratic gives x = 1 (rejecting negative extraneous root)....

Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...

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