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anonymous
 5 years ago
2log6+log (1/3)=log12
which properties of logarithmics are/is used?
power property and product property
quotient property and product property
quotient property only
power property only
anonymous
 5 years ago
2log6+log (1/3)=log12 which properties of logarithmics are/is used? power property and product property quotient property and product property quotient property only power property only

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Well If I asked you what 2log6 + log(1/3) was, how would you solve it (without using a calculator)?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0my teacher didnt go over this but still put it on the end of course exam

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0log (1/3) is saying log 3. With that we can use quotient property

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0If it's just 2log6 +log(1/3) you can reduce it down to 2log6log(3) because log(1) equal zero

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.02log6 can be written as log6^2 so, log 36

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0log36/log 3 is log 12

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0No it's not. log36  log3 is log12.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0no it isn't. \[\frac{log\ 36}{log\ 3} \ne log(\frac{36}{3})\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0log36log3 =log36/log3

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i'm not saying log(36/3)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0No, it doesn't. log 36  log 3 = log(36/3)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0>>> log(36, 10)  log(3, 10) 1.0791812460476247 >>> log(36,10)/log(3,10) 3.2618595071429146

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Very different numbers.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0try it in your calculator, (or wolframalpha)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0log(36/3) is log(12) i checked with calculator and got the same answer so sorry for confusion just disregard the log36/log3

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0You can see quite trivially that it will be equal because 36/3 is 12. So log of 36/3 would be the log of 12. The problem is more about finding that log(36)  log(3) can be written as log(36/3)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok so what was the problem?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0The problem with your answer was that you said log(36)  log(3) = log(36)/log(3). But the simplest solution is to just say: \[2log6+log (1/3)\] \[=log36 + log(\frac{1}{3})\] \[=log (36 \times \frac{1}{3})\] \[=log(12)\] Which just uses the power and product rules. That said though you could also solve it by just using the product rule, or using the quotient rule and the power rule. So there's no nonambiguous way to answer the multiple choice.
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