5
QuizMultiple Choice

Exponential and Logarithmic Inequalities

Question 5 • CUSD Advanced Math A (5.0)

What is the solution set to log8(4x + 2) + 4 ≥ 5?

Answer
A
(–0.5, ∞)
B
[1.5, ∞)
C
(1.5, ∞)
D
[5, ∞)

Explanation

Subtract 4 from both sides to get log₈(4x + 2) ≥ 1. Since 8 is greater than 1, this is equivalent to 4x + 2 ≥ 8, so x ≥ 1.5. The logarithm’s domain requires 4x + 2 > 0, which is also satisfied for these values. The solution set is [1.5, ∞), choice B.

AI-written and checked against the verified answer.

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