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Unformatted text preview: 4 and not 2x 23 x + 4 . 5. You can not simplify summands in fractions, i.e., the following simpliﬁcation is wrong : x 2 + 8 x4 = x 2 + 6 8 x 6 4 = x 2 + 2 x1 2 The following are useful rules. 1. a b c d = ad bc (1) i.e., "the ﬁrst times the inverse of the second". For example: 1 2 3 4 = 1 × 4 2 × 3 = 4 6 2. a x a y = a x + y . 3. ( a x ) y = a xy . 4. log( a + b ) is not equal to log( a )+log( b ) . However, the following is true: log( ab ) = log( a )+log( b ) . The statements made here do not depend on which basis of log we are using. 5. log( a b ) = b log( a ) . 6. log( a b ) = log( a )log( b ) ....
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 Fall '07
 GuanYuShi
 Calculus, Elementary arithmetic, Equals sign, Divisor

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