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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.
This topic introduces logarithms and exponential equations. Logarithms are used to solve exponential equations, and so are used along with exponential functions when modelling
Intro to Logarithms. Evaluate logarithms. Evaluating logarithms (advanced) Evaluate logarithms (advanced) Relationship between exponentials & logarithms. Relationship between exponentials & logarithms: graphs. Relationship between exponentials & logarithms: tables. Relationship between exponentials & logarithms.
After watching the video, Introduction to Logarithms, complete the following problems. Introduction to Logarithms used whole number bases for the logarithms, including base 10, which is called the common logarithm. Another logarithm, the natural logarithm, uses the number e as the base.
Precalculus Tutorials. Introduction to Logarithms. -A logarithm is the inverse function for an exponent; therefore, we will review exponential functions first. Review of Exponential Functions. -An exponential function has the general form ( ) = , where 0 < -b is called the base and x is called the exponent. < 1, or > 1.
Introduction to Logarithms. In its simplest form, a logarithm answers the question: How many of one number multiply together to make another number? Example: How many 2 s multiply together to make 8? Answer: 2 × 2 × 2 = 8, so we had to multiply 3 of the 2 s to get 8. So the logarithm is 3. How to Write it. We write it like this: log2(8) = 3.
A logarithm represents the scale of a number. Think of all the one-digit numbers, 1 through 9. (For now we're skipping over 0.) Of course these numbers are all di erent, but they're close enough to each other to be easily comparable. However the two-digit numbers, 10 through 99, are on a totally di erent scale. They're easily comparable to each.
