rcory4 rcory4
  • 03-11-2017
  • Mathematics
contestada

What is equal to 3log2 + log4

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ziplovin31 ziplovin31
  • 03-11-2017
well I tried sloving it and I got 1.5
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jimthompson5910 jimthompson5910
  • 03-11-2017
Log Rule #1:  log(x*y) = log(x)+log(y)
Log Rule #2:  log(x^y) = y*log(x)

Using those log rules, we can say...

3*log(2) + log(4) = log(2^3) + log(4)  <-- use log rule #2
3*log(2) + log(4) = log(8) + log(4)     <-- simplify 2^3 to get 8
3*log(2) + log(4) = log(8*4)               <-- use log rule #1
3*log(2) + log(4) = log(32)                <-- simplify 8*4 to get 32

So the expression simplifies to log(32)
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