SOLUTION: Without using calculator or tables ,find the value of log3.6 given that log2 equer to 0.3010,log3 equer to 0.4771 and log5 equer to 0.6990

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Question 1012144: Without using calculator or tables ,find the value of log3.6 given that log2 equer to 0.3010,log3 equer to 0.4771 and log5 equer to 0.6990
Found 2 solutions by Boreal, MathTherapy:
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
One way is log 2+log 3=log 6
log 6=0.7781
log 36=2log 6=1.5562
log 3.6=log (36)/log (10)=log 36 - log 10=1.5562-1=0.5562
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Without using calculator or tables ,find the value of log3.6 given that log2 equer to 0.3010,log3 equer to 0.4771 and log5 equer to 0.6990
Using the given log values, we can rewrite log 3.6 as: 

 = log 18 – log 5 -----> log 9 * 2 - log 5 ----->  -----> 

2 log 3  + log 2 – log 5

2(.4771) + .301 - .699

.9542 + .301 - .699

1.2552 - .699 =  

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