SOLUTION: How can I write the expression 2.1n x-1n y+3. 1n z as a single lograithm. The periods after the 2 and 3 stands for the (times) sign not periods.

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Question 113499: How can I write the expression 2.1n x-1n y+3. 1n z as a single lograithm. The periods after the 2 and 3 stands for the (times) sign not periods.

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


First rule to apply is that , so we can write:




The next rule is that the log of the product is the sum of the logs of the factors, like this:

. So for this problem:



Hope this helps,
John

P.S. Next time use the asterisk '*' (Shift-8) to make the multiplication sign as in 2 * 3 = 6

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