Value of a Log Worksheets

How to Determine the Value of a Logarithm? The logarithm is an important function which students use extensively as they move towards advanced level mathematics. However, students must realize that calculating a log with a calculator is a lot easier, but in some cases, you need to learn how to determine the value of logarithm manually. So, now we will learn how you can find the value of a log without the help of a calculator. A logarithm is basically the power to which a base of 10 must be raised for obtaining a number. Let's solve two examples manually. 1. Firstly, using log₁₀ ⁡log ⁡ to the base 10. log 100 = 2 is equivalent to 102 = 100. Now, 1 is the base, 2 is the power, and 100 is the number which is your answer. 2. If we replace 10 with the base e, then it becomes a natural log. Thus, the example, by using natural logs, finds all numbers with 5 significant figures. ln 30 = 3.4012 is equivalent to e3.4012 = 30 or 2.71833.4012 = 30.