SOLUTION: How do I solve {{{3log(b,X)-(log(b,4)+log(b,X))}}}

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Question 258147: How do I solve 3log%28b%2CX%29-%28log%28b%2C4%29%2Blog%28b%2CX%29%29
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
First use the power rule to get
(i) log%28b%2CX%5E3%29-%28log%28b%2C4%29%2Blog%28b%2CX%29%29
second use order of operations and rules of logs to get
(ii) log%28b%2CX%5E3%29-log%28b%2C4x%29
Third use laws of logs to get
(iii) log%28b%2CX%5E3%2F4x%29
which can be simplified as
(iv) log%28b%2CX%5E2%2F4%29