5. Multiply 52.735-9.076, and 384.3 together, by logarithms. 6. Multiply 96503.8-3.0027-.1284, and 472.807 together, by logarithms. Product 183934.7. Product 17591597. DIVISION BY LOGARITHMS. RULE. Subtract the logarithm of the divisor from the logarithm of the dividend, and the natural number, answering to the remainder, is the quotient required. 3 makes Divide .0216583 by .0047219, by logarithms. Numbers. Logarithms. .0216583 = 2.3356243 .0047219 = 3.6741168 Quo. 4.58677 = 0.6615075 The application of the Rule of Three in Logarithms will be seen in Plane Trigonometry, and other branches of Mathematics. INVOLUTION BY LOGARITHMS. Take out the logarithm of the given number from the Table, and multiply it by the index of the proposed power; and the number answering to the product, will be the power required. H 3. Required the square of .72536 by logarithms. Answer, .526147, &c. 4. Involve .37216 to the 4th power by logarithms. Answer, .0191831, &c. 5. Find the cube of .20793 by logarithms. Answer, .0089898, &c. 6. What is the 5th power of 1.0764 by logarithms? Answer, 1.445002, &c. EVOLUTION BY LOGARITHMS. Take the logarithm of the given number out of the Table. Divide the logarithm by 2 for the square root, 3 for the cube root, &c.; and the number answering to the quotient will be the root. What is the 4th root of 571.914 by logarithms? 1. Find the square root of 368863 by logarithms. Answer, 607.34, &c. 2. Required the cube root of 48228544 by logarithms. 3. What is the cube root of 15926.9 by logarithms ? Answer, 364. Answer, 25.1596, &c. 4. What is the cube root of 33.230979 by logarithms? Answer, 3.21502, &c. 5. Required the 4th root of 93.217 by logarithms. Answer, 3.10723, &c. 6. What is the square root of 85.9333 by logarithms ? Answer, 9.27002, &c. 7. Required the cube root of 36155.02 by logarithms. Answer, 33.0666, &c. 8. What is the cube root of 9.166 by logarithms? Answer, 2.09279, &c. |