Solve for x

Question

Logx square root of 3/3 =1/2

Answer 1

Given equation is

Apply inverse log each side with base 10.

Comments

The answer they get is 1/2. What is the correct answer

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Answer is 1/2 or 1/3 ?

i got 1/3

log(x) √3/3 =1/2

log(x) √3/√3*√3 =1/2

log(x) 1/√3 =1/2

x^(1/2) = 1/√3    ( Using basic logarithmic rule: log(b) a = x ===> b^x = a )

Square on both sides

x = 1/3

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Show me step by step on solving this problem

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3 can be written as

Cancel common terms

According basic logarithmic principal:

Here

, b = x, and c = 1/2.

Square on both sides