Скачать или смотреть Expanding logarithmic expressions

👉 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.

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Organized Videos:
✅Condense and Expand Logarithms
   • Condense and Expand Logarithms  
✅Condense Logarithms with Brackets
   • Condense Logarithms with Brackets  
✅Rules of Logarithms
   • Rules of Logarithms  
✅Condense Logarithms | Easy
   • Condense Logarithms | Easy  
✅Power Rule of Logarithms
   • Power Rule of Logarithms  
✅Condense Logarithms | Hard
   • Condense Logarithms | Hard  
✅Product Rule of Logarithms
   • Product Rule of Logarithms  
✅Power to Product Rule of Logarithms
   • Power to Product Rule of Logarithms  
✅Power to Quotient Rule of Logarithms
   • Power to Quotient Rule of Logarithms  
✅Expand Natural Logarithms
   • Expand Natural Logarithms  
✅Expand Logarithms With Radicals
   • Expand Logarithms With Radicals  
✅Convert Exponential to Logarithmic Form
   • Convert Exponential to Logarithmic Form  
✅Convert Logarithmic to Exponential
   • Convert Logarithmic to Exponential  
✅Logarithmic and Exponential Form | Learn About
   • Logarithmic and Exponential Form | Learn A...  


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