### Home > PC > Chapter 3 > Lesson 3.3.1 > Problem 3-106

Just below the

Do the three log laws work with

? For example, is it true that ? Check all three laws with several examples before you decide. Yes, all 3 laws apply.

Since LN appears to satisfy all three log laws, it appears to be a log function. LN(X) is written

or in mathematical notation. When speaking, you say the two letters separately: “el en of ” or “el en.” The letter “l” stands for logarithm and the letter “n” stands for natural;is the **natural logarithm**of. For logs base, . For logs base , explain why. By experimenting with different inputs, use the result of part (b) to find the base of the natural logarithm function (

) correct to the nearest . The base of the natural logarithm is close to