Look Who it Was Random video

Solving a logarithmic equation in two different ways

2,664 views · Published 7 December 2011 · 3:01 · Indexed 8 November 2026

Channel: Brian McLogan · 2011 · Education

Watch on YouTube

👉 Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the equality sign as single terms. Then, we equate the numbers/expressions in the logarithms and hence solve for the unknown variable. Note that the logarithms must be of the same base.

If one side of the logarithmic equation have logarithm and the other side does not have logarithm, the equation can be easily evaluated by taking the terms in both sides of the equality sign as exponents of powers with the base of the power corresponding to the base of the term having logarithm. The base of the power cancels out the logarithm and then we can evaluate the unknown variable.

👏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:
✅Solve Logarithmic Equations
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpbpcv-8h--Cjk9i1EM4hSp
✅Solve Natural Logarithmic Equations
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrigOtvTxi5aOx3kPbHg7C4
✅Solve Logarithmic Equations 
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrbUiBJIIqakMmUZ7H5WXuO
✅Solve Logarithmic Equations | Learn About
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqXnLF0-NOx0tZ5MsTUFnZ-
✅Solve Logarithmic Equations with Multiple Logs
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMoDzDWLzNyRhfiMvWHchyD7
✅Solve Logarithmic Equations with Logs on Both Sides
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrHkI1QebQtlJfNZQKvbh0y


🗂️ 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/

#Logarithms #logarithmicfunctions #brianmclogan

More from this channel