SOLUTION: What equation is equivalent to 3 Log x + Log 2 = Log3x- Log 2?

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Question 1132380: What equation is equivalent to 3 Log x + Log 2 = Log3x- Log 2?
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
What equation is equivalent to 3 Log x + Log 2 = Log3x- Log 2?
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There are many of them.
3log%28x%29+%2B+Log%282%29+=+Log%283x%29-+Log%282%29
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log%28x%5E3%29+%2B+Log%282%29+=+Log%283x%29-+Log%282%29 is one.
Log%282x%5E3%29+=+Log%283x%29-+Log%282%29 is another.

Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
.

2x%5E3 = %283x%29%2F2,   or, equivalently,


4x^3 = 3x.

Use elementary properties of logarithms.

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If you do not know them, you nay learn the subject from my lessons
    - WHAT IS the logarithm
    - Properties of the logarithm
    - Change of Base Formula for logarithms
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Logarithms".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.