MTH-100 Lecture Notes - Lecture 17: Negative Number

• School: Camden County College
• Department: Mathematics
• Course: MTH-100

Document Summary

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. Steps for solving logarithmic equations containing terms without logarithms. Step 1: determine if the problem contains only logarithms. If so, stop and use steps for solving. Step 2: use the properties of logarithms to simplify the problem if needed. If the problem has more than one logarithm on either side of the equal sign then the problem can be simplified. Step 3: rewrite the problem in exponential form. Remember we cannot take the logarithm of a negative number, so we need to make sure that when we plug our answer(s) back into the original equation we get a positive number. Example solve: log4 (4x 9) = 3 log4 (4x 9) = 3 log4 (4x 9) = 3.