...logarithm of a product is equal to the sum of the logarithms of the several factors composing the product. The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. The logarithm of the power of a quantity is equal to the logarithm...

...easily deduced from the corresponding properties of the exponential function as follows: 7. Theorem. The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers. Let p = bmj whence Iog6 p = m, and q = bn, whence log& q = n. Then pq = bmbn = bm+n. Therefore log?,...

...expressed, it is understood to be 10. Pages 60-64. The first property of logarithms given above states that the logarithm of the product of two numbers is equal to the sum of the logarithms of the two numbers. If you read these pages carefully, you will see that when you multiply two numbers using...

...the Henderson equation. First, take the logarithm of both sides of Equation 5-12, (5-13) J The log of the product of two numbers is equal to the sum of the logarithms of the two numbers, hence, (5-14) •[B-] " [B-] Substituting Equation 5-14 into 5-13, , L*"^J /C 1 C "\ multiplying...

...following laws of logarithms can be applied to the logarithms of products, ratios, and exponents: 1 . The logarithm of the product of two numbers is equal to the sum of their logarithms: log (ab) = log a + log b For example, log (10 x 100) = log (10) + log (100) log (1,000)...

...of the positive logarithm. 12.8686—10 3.7980—10 9.0706 121. Multiplication by Use of Logarithms The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers. Thus, log (2 x 6) = log 2 + log 6; and log (12 X 8) = log 12 + log 8. Example 1 : Multiply 68.2 by...