## An Elementary Treatise on Algebra: To which are Added Exponential Equations and Logarithms |

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**Equations**. 6. A hostile corps has set out two days ago**from**a certain place , and goes 27 miles daily . Another ...**given**time , its actual discharge must be ( x ) = whence the required**equation**is x ; 2x - x = 561 . x 8. A dog ... Page 63

To which are Added Exponential Equations and Logarithms Benjamin Peirce. To free a Fraction from negative Exponents . 115. Corollary . If the

To which are Added Exponential Equations and Logarithms Benjamin Peirce. To free a Fraction from negative Exponents . 115. Corollary . If the

**given equation**contains negative exponents , it can be freed from them by arts . 80 and 82 ... Page 65

... equation is represented by Ax + B = 0 . 121. Problem . To solve an equation of the first degree with one unknown quantity . Solution . Having reduced the

... equation is represented by Ax + B = 0 . 121. Problem . To solve an equation of the first degree with one unknown quantity . Solution . Having reduced the

**given equation**to the form Ax + B = 0 , transpose B to the second member by art ... Page 66

To which are Added Exponential Equations and Logarithms Benjamin Peirce. Cases in Equations in the First Degree ...

To which are Added Exponential Equations and Logarithms Benjamin Peirce. Cases in Equations in the First Degree ...

**given equation**is , however , in this case , 0x x + B = 0 , Cases in Equations of the First Degree . which reduces ... Page 67

To which are Added Exponential Equations and Logarithms Benjamin Peirce. Cases in Equations of the First Degree ...

To which are Added Exponential Equations and Logarithms Benjamin Peirce. Cases in Equations of the First Degree ...

**given equation**is , indeed , in this case 0x x + 0 = 0 , an equation which is satisfied by any value whatever of x ...### Other editions - View all

### Common terms and phrases

126 become zero 3d root arithmetical mean arithmetical progression Binomial Theorem coefficient commensurable roots common difference contained continued fraction continued product Corollary deficient terms denote derivative Divide dividend division equal roots equal to zero equation x² factor Find the 3d Find the 4th Find the continued Find the greatest Find the number Find the square Find the sum Free the equation Geometrical Progression given equation gives greatest common divisor Hence imaginary roots last term least common multiple letter logarithm monomials multiplied number of real number of terms polynomial positive roots preceding article Problem quantities in example quotient radical quantities ratio real roots reduced remainder required equation required number row of signs Scholium Second Degree Solution Solve the equation square root Sturm's Theorem subtracted Theorem unity unknown quan unknown quantity variable whence