Alg_Complete

# 698970004336 now lets try the natural logarithm form

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Unformatted text preview: (c) ln xy For this part let’s first rewrite the logarithm a little so that we can see the first step. 1 ln xy = ln ( xy ) 2 Written in this form we can see that there is a single exponent on the whole term and so we’ll take care of that first. ln xy = 1 ln ( xy ) 2 Now, we will take care of the product. 1 ( ln x + ln y ) 2 1 Notice the parenthesis in this the answer. The multiplies the original logarithm and so it will 2 ln xy = also need to multiply the whole “simplified” logarithm. Therefore, we need to have a set of parenthesis there to make sure that this is taken care of correctly. [Return to Problems] æ ( x + y )2 ö (d) log 3 ç 2 ÷ ç x + y2 ÷ è ø We’ll first take care of the quotient in this logarithm. æ ( x + y )2 ö 2 log 3 ç 2 ÷ = log 3 ( x + y ) - log 3 ( x 2 + y 2 ) 2 ç x +y ÷ è ø We now reach the real point to this problem. The second logarithm is as simplified as we can make it. Remember that we can’t break up a log of a sum or difference and so t...
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## This note was uploaded on 06/06/2012 for the course ICT 4 taught by Professor Mrvinh during the Spring '12 term at Hanoi University of Technology.

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