SOLUTION: Given Log<c> 2=0.387, log<c>3=0.613, and log<c>5=0.898, find log<c> 16875/2 The "<c>" is meant to be a subscript. The answers are [A] 4.044 [B] 7.044
[C] 50.440 [D] 5.044
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Question 866646: Given Log 2=0.387, log3=0.613, and log5=0.898, find log 16875/2 The "" is meant to be a subscript. The answers are [A] 4.044 [B] 7.044
[C] 50.440 [D] 5.044 Honestly I have no idea how to do this problem, today in Math we learned how to manipulate logarithms, so I am familiar with adding and subtracting logarithms in order to make it a complex or seperate logarithm(s). Thank you so much for your help
Found 2 solutions by josgarithmetic, stanbon:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Try completely factoring the 16875 into its prime factorization.
.
You should be able to continue from here and finish.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Given Log 2=0.387, log3=0.613, and log5=0.898, find log 16875/2 The "" is meant to be a subscript.
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log(16875/2) = log(16875)-log(2)
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Note: 16875/5 = 3375
3375/5 = 675
675/5 = 135
135/5 = 27
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27 = 3^3
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So,: log16875) = log(5^4*3^3) = 4log(5)+3log(3) = 4*0.898+3*0.613 = 5.431
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Ans: log[16875/2] = 5.431-0.387 = 5.044
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Cheers,
Stan H.
=================
The answers are [A] 4.044 [B] 7.044
[C] 50.440 [D] 5.044
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