3 years ago

What is equal to 3log2 + log4

Mathematics

2 answers:

Sunny_sXe [5.5K]3 years ago

7 0

Well I tried sloving it and I got 1.5

sineoko [7]3 years ago

4 0

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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3 years ago

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