Math 1513 College Algebra Written Assignment 12 Due 2017.11.12 Directions: Pleas

Question

Math 1513 College Algebra Written Assignment 12 Due 2017.11.12 Directions: Please answer the following question in complete sentences and show ALL work. Be sure to label all geometric objects in any illustrations. I will accept an answer in a scanned image format, as a pdf, or sent from your awesome picture phone. Do NOT send a Microsoft Word document. Problem: Use the power property of logarithnms to compare the numbers 600 larly, of the two numbers 100 and in, which is smaller? and 60100, Which is larger? Siab T00 which is smaller? 09

Explanation / Answer

Further, log b =log( 601600) = 600log 601 = 600*2.778874472= 1667.324683. Now, since log a > log b, hence a > b, i.e. 600601 > 601600.

2.Let a = 1/99100 = 99-100 and b = 1/10099 = 100-99. Then log a = log(99-100) = -100log 99 = -100*1.995635195 = -199.5635195. Further, log b = log(100-99) = -99 log100 = -99*2 = -198. Now, since log a < log b, hence a < b, i.e. 1/99100 < 1/10099.

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