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Pre-Calculus - Evaluating a Logarithm Using Condensing

4,705 views · Published 29 November 2011 · 1:28 · Indexed 23 October 2026

Channel: Brian McLogan · 2011 · Education

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👉 Learn how to evaluate logarithm expression. Recall that the logarithm of a number say a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n = a). Thus, to evaluate logarithms expressions, we either rewrite the expression as an exponential equation using the definition of a logarithm or evaluate using properties of logarithms.

When the logarithm expressions involve the addition or subtraction of individual logarithms of the same base, we can use the addition or the subtraction laws of logarithms to evaluate the value of the logarithm. Otherwise, we can make use of other logarithm properties to evaluate the logarithm expression.

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Organized Videos:
✅Evaluate Logarithms
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqLK5d-GnhbLJDu8HkQEaXH
✅Change of Base Formula 
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrjV9ll7wRUGAwtBt3CVYAO
✅Rules of Logarithms
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMq5AvOOXsDWR7k_mcs0LvZo
✅Logarithms | Learn About
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMoGSEaJLND-_FZdxrV4m011
✅How to Evaluate Logarithms with Radicals
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpw2eSMrxI028RivTezW-O3
✅How to Evaluate Logarithms with Fractions
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpyjKOkfXDoJPG7bT9rh3Q4
✅How to Evaluate Logarithms
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMreyyfjIh5QlfYp5_KSk90t
✅How to Evaluate Natural Logarithms
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMr1AzltBGBbmGLLR4y7fqHf
✅How to Evaluate Logarithmic Expressions
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMoA-1oSX04rRpTu81FuVmse


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