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What is the true solution to 3 l n 2 + l n 8 = 2 l n (4 x)

User Ddfra
by
5.3k points

2 Answers

6 votes

Answer:

C. on edge

Explanation:

User Epsilone
by
4.6k points
6 votes

Answer: 2

Explanation:

3 ln (2) + ln (8) = 2 ln (4x)

ln (2)³ + ln (8) = ln (4x)²

ln (2³ · 8) = ln (4x)²

(2³ · 8) = (4x)²

64 = 16x²

4 = x²

±2 = x

-2 is an extraneous solution because x > 0

The only valid answer is x = 2

User Princey James
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4.8k points