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Using the properties of logarithms to condense multiple logarithms

2,424 views · Published 29 November 2011 · 2:11 · Indexed 27 October 2026

Channel: Brian McLogan · 2011 · Education

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👉 Learn how to condense logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the expanded form to a condensed form. Knowledge of the logarithm laws/properties will be of importance in condensing logarithm expressions.

Some of the logarithm laws includes: the product law which states that the sum of individual logarithms of the same base is equivalent to the logarithm of the product of the terms in the individual logarithms. The quotient rule states that the difference between two individual logarithms of the same base is equivalent to the logarithm of the quotient of the terms in the individual logarithms. The power rule states that the multiple of the logarithm of a number is equivalent to the logarithm of the number raised to a power equivalent to the coefficient of the original logarithm.

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Organized Videos:
✅Condense and Expand Logarithms
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrMQk69YbdZVfQXcFP6TQr3
✅Condense Logarithms with Brackets
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpDRgXteVrNdqtkhs8J3mg7
✅Rules of Logarithms
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMoh63huVoJhk3gg1ofXKayB
✅Condense Logarithms | Easy
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMoeMzvxvH6GhcSfr99tonB0
✅Power Rule of Logarithms
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpjLOeuAzFM9-GKKSL-6FRs
✅Condense Logarithms | Hard
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMr63olx7pG8EiSgmguYNC8q
✅Product Rule of Logarithms
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqpv-kztuavdEP-CHIEzRRj
✅Power to Product Rule of Logarithms
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMr4G3XnhGsnbnftVGv3aY5H
✅Power to Quotient Rule of Logarithms
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMq49xePRUZea8HOso0v-ZY1
✅Expand Natural Logarithms
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrMrODZnpSimQ24Smi_eByM
✅Expand Logarithms With Radicals
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMr-5J5LH8g3HZS_k_rf9D0S
✅Convert Exponential to Logarithmic Form
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMo5bikpcsnaxiufojH4VbjI
✅Convert Logarithmic to Exponential
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpfNmbegnBjMFT5N4cnG0nM
✅Logarithmic and Exponential Form | Learn About
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqFXKljatNOm_EsuLm3xdi-


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