ACT Math Practice Question #2042 (Hard (620)) | Test Citadel
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ACT Math Difficulty: Hard (620)

Digital ACT Math Practice Question #2042

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

Masterclass Solution & Distractor Trap Analysis

Combine logarithms: log_2(x(x + 2)) = 3. Convert to exponential form: x^2 + 2x = 2^3 = 8. Solving the quadratic gives x = 2 (rejecting negative extraneous root)....

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

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