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How to use the properties of logs to condense an expression

4,638 views · Published 11 November 2010 · 3:58 · Indexed 20 October 2026

Channel: Brian McLogan · 2010 · Education

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👉 Learn how to condense logarithmic expressions using the power rule. 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.

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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