By Zohreh Parsa; American Institute of Physics.; University of California, Santa Barbara. Institute for Theoretical Physics

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**Extra resources for Future high energy colliders : Santa Barbara, California, October 1996**

**Sample text**

Since it's easier to do than say, try it. Example 3. 0394 - -log of denominator = --- log of numerator = --- log of denominator = --log of quotient - -antilog of quotient = --Did you get it? If not, tum to page 34 and find the values you should have used. I'm sure you'll agree now that even looking up five logs and an antilog and then performing a couple of additions and a subtraction is still easier (and probably more accurate) than performing all of the actual multiplications and divisions indicated in this problem.

44 FROM PAGE 43 Part II logarithms and Trigonometry Combined Having considered some of the elements and applications of logarithms, we're now ready to find out how they can be combined with the principles of trigonometry to simplify the solution of problems involving right triangles. Such problems are basic to nearly every phase of applied and theoretical mathematics, science, engineering, navigation, architecture, design of any kind, manufacturing, etc. Now, how do these two branches of mathematics-trigonometry and logarithms-relate to each other?

An exponent is the number placed to the right and slightly above another number to indicate the power to which the second number (known as the "base") is to be raised; in other words, how many times it is to be taken as a factor ( multiplier). 4. Any number can serve as a base, and once we select a particular number as a base capable of being raised to any desired power, we have created a system of logs. 5. " 6. We define a log as follows : The logarithm of a number is the power to which a given base must be raised in order to produce that number.