SOLUTION: I need to simplify (2log2x)/2 where log2 is log base 2. An answer sheet from my teacher shows this simplifying to log2x^2 but I think this (specifically the "squared" part) is wro

Question 953289: I need to simplify (2log2x)/2 where log2 is log base 2. An answer sheet from my teacher shows this simplifying to log2x^2 but I think this (specifically the "squared" part) is wrong. Is the teacher wrong or am I missing something here? Thanks!
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39621) (Show Source): You can put this solution on YOUR website!
You described (2*log(2,x))/2 rendered to

----simplified.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

Log Rules:
1)
2)
3) ...you need to apply this rule

..simplified using base
now you can change the base if you will:
In order to evaluate a non-standard-base log, you have to use the Change-of-Base formula:

usually we use base
so, you will have

your teacher shows this simplifying to which is wrong
is equal (using the rule from above, but given
is =>is equal to not only

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