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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
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.
logarithms allow for the simplification of complex problem situations to basic arithmetic operations. In this unit you will examine the definition and inverse relationship with the exponential function, practice the laws of logarithms, solve logarithmic equations, and explore a
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 ...
8 Απρ 2024 · A logarithm (log for short) is actually just an exponent in a different form. The important thing to understand about logarithms is why we use them, which is to solve equations where our variable is in the exponent and we can't get like bases. [1] log a x = y is the same as a y = x.
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.
