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\nLearn the basics to expanding a logarithmic expression\n

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\n\nPublisher:\n\nBrian McLogan\n\n\n
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\n👉 Learn how to expand logarithms using the product/quotient rule. The product rule of logarithms states that the logarithm of a product to a given base is equivalent to the sum of the logarithms of the terms that make up the product to...\n👉 Learn how to expand logarithms using the product/quotient rule. The product rule of logarithms states that the logarithm of a product to a given base is equivalent to the sum of the logarithms of the terms that make up the product to the same base. For example: log ab = log a + log b. The quotient rule of logarithms states that the logarithm of the quotient of two numbers to a given base is equivalent to the subtraction of the logarithm of the denominator from the logarithm of the numerator to the same base. For example: log (a/b) = log a - log b. Thus, when given a logarithm expression involving the logarithm of the product of two or more numbers to a certain base, the logarithm can be expanded by adding the individual logarithms of the terms that make up that product to the same base as the base of the logarithm of the product. And when given a logarithm expression involving the logarithm of the quotient of two numbers to a certain base, the logarithm can be expanded by subtracting the logarithm of the denominator of the quotient from the logarithm of the numerator of the quotient. And when given a logarithm expression involving the logarithm of a number raised to a certain exponent, the logarithm can be expanded by multiplying the exponent to the logarithm of the number without the exponent. These rules can also be combined together as applicable to expand a given logarithm expression.\n
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Resource Details

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Media Length
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0:47
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Grade
12th - Higher Ed
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Subjects
Math
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Media Type
Instructional Videos
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Source:
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\nBrian McLogan\n\n
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Date
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2015
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Language
English
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Audiences
For Teacher Use
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Usage Permissions
Fine Print: Educational Use
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Concepts

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division, subtraction, rules, exponents, expressions
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how to expand logarithmic expressions, how to expand, how to, expand, logarithmic, help me with math, math help, log(x^2/3), expanding a logarithmic expression, expanding logarithmic expressions, expanding logarithmic expressions solver, properties for expanding logarithmic expressions, practice expanding logarithmic expressions, free math videos, brian mclogan, math, how to expand logs, how to expand using properties of logs, rules of exponents, how, separated, rule, exponent, expanding, anytime, logarithm, write
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Best For: Explaining a topic
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