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This topic introduces logarithms and exponential equations. Logarithms are used to solve exponential equations, and so are used along with exponential functions when modelling
logs.” “The log of a quotient is the difference of the logs.” The students see the rules with little development of ideas behind them or history of how they were used in conjunction with log tables (or slide rules which are mechanized log tables) to do almost all of the world’s scientific and
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.
These scales of size 10 are the base-10 logarithms, which are represented by \log 10" in equations. Base-10 logarithms are sometimes called common logarithms. That small \10" is the base, and it can be any positive number except 1 (though we’ll soon see that only a few bases are commonly used).
Common Logarithms of the Trigonometric Functions. For each second from a' to 3' and from 89° 57' to 90° For every ten seconds from 3' to 2° and from 88° to 89° 57'. For each minute from 2° to 88°. to Five Decimal Places.
Logarithms were originally developed to simplify complex arithmetic calculations. They were designed to transform multiplicative processes into additive ones.
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
