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log(3x)^2 simplified

Calculus
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simplified expression 

Apr 8th, 2015

log (3x)2 = 2 log(3x) = 2 (log 3 + log(x)) 

Note that this formula is good for all x > 0. 

Since the left-hand side is defined for all x ≠ 0, more general formula will be

log (3x)2 = 2 log |3x| = 2 (log 3 + log |x|) which is good for all x ≠ 0.


Apr 8th, 2015

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