MTH-100 Lecture Notes - Negative Number, Binary Logarithm
Document Summary
Rules for logarithms b b log 1 0 log log m b. 1 log n log m log n log n x n log x log( log mn m n. Solving logarithmic equations containing only terms with logarithms. If logb m = logb n, then m = n. This statement says that if an equation contains only two logarithms, on opposite sides of the equal sign, with the same base then the problem can be solved by simply dropping the logarithms . Steps for solving logarithmic equations containing only logarithms. If not, stop and use the steps for solving logarithmic equations containing terms without logarithms. Step 3: rewrite the problem without the logarithms. Solve: log3 (7x + 3) = log3 (5x + 9). log3 (7x + 3) = log3 (5x + 9). 7x + 3 = 5x + 9 x = 3.
