Expanding a natural logarithmic expression

👉 Learn how to expand logarithmic expressions involving radicals. A logarithmic expression is an expression having logarithms in it. To expand logarithmic expressions means to use the logarithm laws to expand (open up) logarithm expressions from the condensed form to an expanded form. Knowledge of the logarithm laws/properties will be of importance in expanding 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. Recall that the nth root of an expression/number is equivalent to the expression/number raised to the power of 1/n. To expand the logarithm of radical expressions, we first transform the radical to exponent form, then we use the power rule to take the exponent to the coefficient, and then we can use any other applicable logarithm law properties to expand the given expression. 👏SUBSCRIBE to my channel here: https://www.youtube.com/user/mrbrianmclogan?sub_confirmation=1 ❤️Support my channel by becoming a member: https://www.youtube.com/channel/UCQv3dpUXUWvDFQarHrS5P9A/join 🙋‍♂️Have questions? Ask here: https://forms.gle/dfR9HbCu6qpWbJdo7 🎉Follow the Community: https://www.youtube.com/user/MrBrianMcLogan/community 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- 🗂️ Organized playlists by classes here: https://www.youtube.com/user/MrBrianMcLogan/playlists 🌐 My Website - http://www.freemathvideos.com 🎯Survive Math Class Checklist: Ten Steps to a Better Year: https://www.brianmclogan.com/email-capture-fdea604e-9ee8-433f-aa93-c6fefdfe4d57 Connect with me: ⚡️Facebook - https://www.facebook.com/freemathvideos ⚡️Instagram - https://www.instagram.com/brianmclogan/ ⚡️Twitter - https://twitter.com/mrbrianmclogan ⚡️Linkedin - https://www.linkedin.com/in/brian-mclogan-16b43623/ 👨‍🏫 Current Courses on Udemy: https://www.udemy.com/user/brianmclogan2/ 👨‍👩‍👧‍👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: https://www.freemathvideos.com/about-me/ #logarithmicfunctions #brianmclogan