Αποτελέσματα Αναζήτησης
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.
Developed by John Napier in 1614, the purpose of a logarithm is to do multiplication and division by basic addition and subtraction. Suppose you have a number but wish to rewrite it as a power of 10.
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 > 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. The number b (which we take the logarithm of) has to be greater than 0.
See the Supplementary sheet 2 ‘Logarithmic scales and log-log graphs’ on CD-ROM if you are interested in discovering logarithms for yourself. The symbol ⇔ means that if the left-hand side is true then so. is. the right-hand side, and if the right-hand side is true then so is the left-hand side.
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 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. The number e is a constant, and, like another famous constant π, e is an irrational number.
