Elementary Algebra RevisedAmerican book Company, 1913 - 447 páginas |
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Página 8
... Logarithms 364 The Properties of Logarithms • The Parts of a Logarithm The Use of the Four - place Table The Cologarithm . 365 367 374 376 Use of Logarithms in Computations Miscellaneous Applications of Logarithms 377 379 XXVIII ...
... Logarithms 364 The Properties of Logarithms • The Parts of a Logarithm The Use of the Four - place Table The Cologarithm . 365 367 374 376 Use of Logarithms in Computations Miscellaneous Applications of Logarithms 377 379 XXVIII ...
Página 352
... logarithms , and are ordi- narily reserved for advanced students . Exercise 129 1. Given r , n , and 7 ; 2. Given r , n , and s ; 3. Given a , n , and 1 ; s ; 4. Given a , r , and 5. Given r , n , and s ; 6. Given r , l , and s ; 7 ...
... logarithms , and are ordi- narily reserved for advanced students . Exercise 129 1. Given r , n , and 7 ; 2. Given r , n , and s ; 3. Given a , n , and 1 ; s ; 4. Given a , r , and 5. Given r , n , and s ; 6. Given r , l , and s ; 7 ...
Página 363
... √ax ̄1 ) 3 . Find the term not containing x in : 43. ( x3 - 2x - 1 ) 12 44. ax ̄1 - 2α ̄x ) . 45. ( a√x - 2√x ̄1 ) 12 . CHAPTER XXVII LOGARITHMS 433. By means of the exponents , APPLICATIONS OF THE BINOMIAL FORMULA 363.
... √ax ̄1 ) 3 . Find the term not containing x in : 43. ( x3 - 2x - 1 ) 12 44. ax ̄1 - 2α ̄x ) . 45. ( a√x - 2√x ̄1 ) 12 . CHAPTER XXVII LOGARITHMS 433. By means of the exponents , APPLICATIONS OF THE BINOMIAL FORMULA 363.
Página 364
... logarithm of N to the base 10 . The expression is usually written and is read , 10 % = N x = logio N , " x is the logarithm of N to the base 10. " The object and use of logarithms is to simplify numerical 364 Logarithms.
... logarithm of N to the base 10 . The expression is usually written and is read , 10 % = N x = logio N , " x is the logarithm of N to the base 10. " The object and use of logarithms is to simplify numerical 364 Logarithms.
Página 365
... logarithms . Any positive number , except unity , may be taken as the base of a system of logarithms . A negative number is not considered as having a logarithm . THE PARTS OF A LOGARITHM 440. Consider the results in the following : 103 ...
... logarithms . Any positive number , except unity , may be taken as the base of a system of logarithms . A negative number is not considered as having a logarithm . THE PARTS OF A LOGARITHM 440. Consider the results in the following : 103 ...
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Términos y frases comunes
a²x a²x² a³b algebraic expression arithmetical arithmetical progression ax² binomial cents coefficient consecutive numbers consecutive odd numbers cube decimal difference digits Divide dividend division divisor dollars Exercise exponent feet Find the number Find the sum Find the value formula fraction geometrical progression given equation Hence highest common factor inclosed indicated integral LINEAR EQUATIONS logarithm m²n² m³n mantissa minuend monomial multiplicand Multiply negative number number of terms numbers whose sum Numerical Illustration obtained Oral Drill parenthesis polynomial present age principle quadratic equation quadratic surd quotient radical radicand ratio remainder required number Result second term Simplify smaller number solution square root Substituting Subtract surd three consecutive twice unknown quantity Whence x²y
Pasajes populares
Página 57 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Página 9 - The area of a rectangle is equal to the product of its base and altitude. Given R a rectangle with base b and altitude a. To prove R = a X b. Proof. Let U be the unit of surface. .R axb U' Then 1x1 But - is the area of R.
Página 375 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 337 - The pressure of wind on a plane surface varies jointly as the area of the surface, and the square of the wind's velocity. The pressure on a square foot is 1 Ib.
Página 320 - If the product of two numbers is equal to the product of two others, one pair may be made the extremes, and the other pair the means, of a proportion. Given ad = be. (1) To Prove - = -. bd Proof. Dividing both members of (1) by bd, ad_bc_ £_£ bd~bd' b~d' In like manner, we may prove - = - ; - = - ; etc.
Página 375 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.
Página 158 - At what time between 4 and 5 o'clock are the hands of a clock exactly opposite each other ? 7.
Página 323 - In any proportion, the product of the means equals the product of the extremes.
Página 89 - ... the square of the second. _ Again, (a — by = (a — 5) (a — 5) = a2 — 2a6 + 52. (2) That is, The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first by the second, plus the square of the second.
Página 369 - The foregoing method is based on the assumption that the differences of logarithms are proportional to the differences of their corresponding numbers, which, though not strictly accurate, is sufficiently exact for practical purposes.