2
lesson pretestMultiple Choice

Pretest

Question 2 • Mathematics III

What is the true solution to 3 ln 2 plus natural log 8 is equal to 2 ln 4 x ?

Answer
A
x is equal to 1
B
x is equal to 8
C
x is equal to 2
D
x is equal to 4

Explanation

Use the log rule 3 ln 2 = ln(2³) and combine the left side: ln 8 + ln 8 = ln 64. The equation becomes ln 64 = 2 ln(4x) = ln((4x)²), so (4x)² = 64. Since the logarithm requires x > 0, 4x = 8 and x = 2; the correct choice is “x is equal to 2.”

AI-written and checked against the verified answer.

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