SOLUTION: Log3(x^2) - log3(x) < 3

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Question 1082224: Log3(x^2) - log3(x) < 3
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
log%283%2C%28x%5E2%29%29 - log%283%2C%28x%29%29 < 3    

    is equivalent to

log%283%2C%28x%5E2%2Fx%29%29 < 3 

    is equivalent to

log%283%2C%28x%29%29 < 3

    is equivalent to

x < 3%5E3

    is equivalent to

x < 27.


Solved. The solution set is  0 < x < 27.


There is a bunch of lessons on logarithms, logarithm properties and logarithmic equations in this site:
    - WHAT IS the logarithm
    - Properties of the logarithm
    - Change of Base Formula for logarithms
    - Solving logarithmic equations
    - Using logarithms to solve real world problems


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".