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What is a logarithm? • To answer this, first try to answer the following: what is x in this equation? 9 = 3x what is x in this equation? 8 = 2x • Basically, logarithmic transformations ask, “a number, to what power equals another number?” • In particular, logs do that for specific numbers under the exponent. This number is called the ...
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. So the expressions like log1 3, log 2 5 numbers (similarly to expressions like. p or log4( 6).
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.
x. = a ⇔ x ga b It is worth noting that the two most common bases have abbreviations for their logarithms. Since we use a decimal system of counting, 10 is the default base for a logarithm, so log x is usually written simply as log x and is called the. 10. ‘common logarithm’.
mc-logs1-2009-1. Logarithms appear in many applications and familiarity with them is essential. They are used to write expressions involving powers in different forms.
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
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.
