University:
Felician University
Course:
MATH-002 | Basic Math Skills-Algebra
Academic year:

2024
Views:

456

Pages:

2
Author:

Clint W.

More Properties of Logs and the Natural Logarithm Recall that а logarithm without а base is the Common Logarithm. lt has а base of 10. These logarithms сап Ье calculated with а calculator. Evaluate the following logarithms: What if I want to calculate а logarithm that does NOT have base 10? Well, we are in luck! We have а formula we сап use to rewrite the logarithm so that we сап use our calculator! ! This formula will change the base of the logarithm so that we сап rewrite the logarithm as а base of 10. Change of Base Formula: log(b) log a b = log(a) Remember that log(b) = log.10b • ca!led the соттоп log Evaluate the following: Ех 5: log 5 625 Ех 6: log 8 2. 7 The history of mathematks is marked Ьу the discovery of special numbers such as counting numbers. zero, negative numbers, л. and imaginary numbers. ln this lesson you famous nllmbers of modern times. Like ,'r and i. the number е, is denoted Ьу а letter. The number is called the natural base е. or the Euler number after its discoverer. Leonhard Eufer (1707 - 1783). NA TUJг.AL LOGAJг.lTHM: The logarithm with base е is called the natural logarithm. so 1,,ve can use log". but it is more often denoted Ьу Jn. NA TURAL LOG: log. х = ln х