HW1 - Escuti/Masnari 2007 ECE200 Fall 2007 Homework 1 Basic...

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Escuti/Masnari 2007 ECE200 – Fall 2007 – Homework 1 Basic Math and Preliminary Concepts You Need to Know Completely Page 1 of 5 Logarithms 1. Calculate the following: a. log 10 1 ( ) b. log 10 0 ( ) c. log 10 0.5 ( ) d. log 10 2 ( ) e. log 10 200 ( ) f. ln 200 ( ) g. e ln 200 ( ) h. ln e 200 ( ) i. 10 2.2 j. e 2.2 k. 10 log 10 (200) l. 10log 10 ln(200) ( ) e ! 1 m. Express log 10 AB ( ) as the sum of two logarithms (of A and B ) n. Express ln A B ( ) as the difference of two logarithms o. Express log 10 A 2 ( ) in terms of A (without the term A 2 ) 2. Sketch (with axis labels) the following (by hand or with software such as MATLAB): a. W = x 2 b. X = 10 y c. Y = 10log 10 x ( ) (note that this is known as the Decibel (dB) scale, and we will say that Y is the quantity x expressed in dB)
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Escuti/Masnari 2007 ECE200 – Fall 2007 – Homework 1 Basic Math and Preliminary Concepts You Need to Know Completely Page 2 of 5 3. Consider the following data: X = 1 10 100 1,000 10,000 Y = 12 11 10
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HW1 - Escuti/Masnari 2007 ECE200 Fall 2007 Homework 1 Basic...

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