In this video, I solve a variety of questions based on logarithmic concepts, covering different types of problems that middle and high school students often encounter in exams. I provide step-by-step explanations to help you approach and solve various logarithmic problems effectively.
Since the equation 1x = b has no solutions when b ≠ 1 and has infinitely many solutions when b = 1, it does not provide a well-defined, unique value for x. Therefore, using 1 as a base in a logarithm is problematic, and as a result, log1(b) is undefined. The base of a logarithm should always be greater than 0 and not equal to 1.
Most middle and high school logarithmic problems can be tackled using one or more of the following formulas:
Be sure to watch the entire video to fully understand the concepts, and feel free to let me know if you spot any inaccuracies. To test your understanding, there is also a quiz based on logarithms. The link to the quiz can be found below.
Links to the related quiz are here: