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What is the true solution to 3 In 2+ In 8 = 2 In(4x)?

O X=1
O X= 2
O X=4
X= 8

User Plastkort
by
9.7k points

2 Answers

14 votes
x=2 is the answer!!!!!
User Simon Walker
by
7.0k points
9 votes

Answer:

x=2

Explanation:

Given: 3ln2 +ln8=2ln(4x)

⇒ln
2^(3)+ln8=2ln(4x) ( m ln (n)= ln(
n^(m)))

⇒ ln8+ln8= 2ln(4x)

⇒ 2ln8= 2ln(4x)

comparing both sides, we get

8=4x

⇒x=2

User Rishabh Deep Singh
by
8.1k points

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