I Used SORCERY to CRUSH This Problem! 🪄

In this video, we'll look at this tricky logarithmic equation and use some cool properties of logarithms to solve for x! For precalc problems like this, you'll need to know some time-saving tricks on your next exam, and we'll quickly solve this equation in just a few minutes WITHOUT a calculator! These tricks may seem like sorcery, but by the end of this video, you'll understand how to apply them and recognize when to use them. For more precalculus tips, calc ab exam prep, and general math mastery, be sure to become a number ninja by SMASHING that subscribe button! Enjoy!
0:00 - Introduction
0:11 - Taking the Log
1:30 - Using One Log Trick
2:14 - Another Log Trick
3:12 - Log Reciprocal Trick
4:10 - Changing the Log Base

[@inverted2533]

Thank you so much! You explained it really well. :)

[@NumberNinjaDave]

@@inverted2533 you’re very welcome 🥷

[@douglundin5811]

Seems like you did a lot of extra work Take log of both sides and use log properties to get Log(3) + log(3)log(x) = log(4) +log(4)log(x) Log(3) - log(4) = log(4)log(x) - log(3)log(x) Log(3) - log(4) = log(x)(log(4) - log(3)) (Log(3) - log(4))/(log(4) - log(3)) = log(x) Log(x) = -1 ; x = 1/10. No need to confuse the problem by using base x or base 3/4

[@NumberNinjaDave]

Nice find! Your math looks sound 🥷 although, because you are combining steps, that won’t be obvious to all students and so I break down each step, step by step, for students who aren’t as strong at the principles

[@MbanghinuOnelchia]

Pls sir revised logarithms products log3log3

[@NumberNinjaDave]

Are you asking for another video? Can you clarify what you are saying?