Αποτελέσματα Αναζήτησης
This topic introduces logarithms and exponential equations. Logarithms are used to solve exponential equations, and so are used along with exponential functions when modelling
After reading this text and / or viewing the video tutorial on this topic you should be able to: explain what is meant by a logarithm. state and use the laws of logarithms. solve simple equations requiring the use of logarithms.
Chapter 1: Logarithms Used to Calculate Products ..... 1 Chapter 2: The Inverse Log Rules ..... 9 Chapter 3: Logarithms Used to Calculate Quotients ..... 20
We have the following de nition of logarithms: De nition. a > 0, a 6= 1 and b > 0 we have: loga b = c , ac = b. What does it mean? First of all the assumptions (restrictions) are important. The number a, called the base of the logarithm, has to be greater than 0 and cannot be equal to 1.
Definition of Logarithm. Suppose b>0 and b≠1, there is a number ‘p’ such that: log n . p if and on. ly p b. if b n. Now a mathematician understands exactly what that means. But, many a student is left scratching their head.
logarithm of a number, all you have to do is count its digits. For example the number 83,176,000 has eight digits, and therefore its log must be between 7 and 8. And since it’s a large eight-digit number, the log is closer to 8 than 7. (In fact, the log of this number is approximately 7.92.) Here’s the graph of positive base-10 logarithms ...
A Logarithm is the inverse function for an Exponent -We remember that inverse functions do the exact opposite of one another. -An example can be seen in the table above; the exponential function sends −2 to 1 4. The logarithm would send 1 4 back to −2. -Inverse functions undo one another and this concept is going to be crucial to calculating
