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Study with Quizlet and memorize flashcards containing terms like Definition of a Logarithm, change of base formula, log2 (16)=4log and more.
- Logarithms Flashcards
Study with Quizlet and memorize flashcards containing terms...
- Logarithms Flashcards
Study with Quizlet and memorize flashcards containing terms like Find the value of y. log5 (25) = y, Find the value of y. logy (16) = 2, Convert to exponential form. log4 (4) = x and more.
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Since the natural logarithm is a base-\(e\) logarithm, \(\ln x=\log _{e} x\), all of the properties of the logarithm apply to it. We can use the properties of the logarithm to expand logarithmic expressions using sums, differences, and coefficients.
Logarithms are the mathematical function that is used to represent the number (y) to which a base integer (a) is raised in order to get the number x: x = ay; where y = loga(x). Most of you are familiar with the standard base-10 logarithm: y = log10(x); where x = 10y.
In this article, we are going to learn the definition of logarithms, two types of logarithms such as common logarithm and natural logarithm, and different properties of logarithms with many solved examples.
A logarithm answers the question "How many of this number do we multiply to get that number?" Example: How many 2s must we multiply to get 8? Answer: 2 × 2 × 2 = 8, so we had to multiply 3 of the 2s to get 8. We say the logarithm of 8 with base 2 is 3.
