Wrath of Math | Rewriting Logarithmic Expressions with Log Properties | Precalculus @WrathofMath | Uploaded 2 months ago | Updated 9 hours ago
We go over how to expand logarithmic expressions and how to condense logarithmic expressions using properties of logarithms like the product property, quotient property, and power property. We will see logs with various bases, including the common log and the natural log. #precalculus
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Precalculus course: youtube.com/playlist?list=PLztBpqftvzxUiMVxLfrqMauPKE3Q74c9i
Precalculus Exercises playlist: youtube.com/playlist?list=PLztBpqftvzxXzzo1o5cXBzP-RnBThLfqv
0:00 Intro
0:19 Expand log3(8x^2y)
1:38 Expand ln(sqrt(4x-2)/5)
2:53 Condense (1/2)logx+4log(x-2)
4:06 Condense 5ln(x+3)-lnx
4:49 Conclusion
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Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
Outro music is mine. You cannot find it anywhere, for now.
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We go over how to expand logarithmic expressions and how to condense logarithmic expressions using properties of logarithms like the product property, quotient property, and power property. We will see logs with various bases, including the common log and the natural log. #precalculus
Join Wrath of Math to get exclusive videos, music, and more:
youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join
Precalculus course: youtube.com/playlist?list=PLztBpqftvzxUiMVxLfrqMauPKE3Q74c9i
Precalculus Exercises playlist: youtube.com/playlist?list=PLztBpqftvzxXzzo1o5cXBzP-RnBThLfqv
0:00 Intro
0:19 Expand log3(8x^2y)
1:38 Expand ln(sqrt(4x-2)/5)
2:53 Condense (1/2)logx+4log(x-2)
4:06 Condense 5ln(x+3)-lnx
4:49 Conclusion
◉Textbooks I Like◉
Graph Theory: amzn.to/3JHQtZj
Real Analysis: amzn.to/3CMdgjI
Abstract Algebra: amzn.to/3IjoZaO
Linear Algebra: amzn.to/43xAWEz
Calculus: amzn.to/3PieD1M
Proofs and Set Theory: amzn.to/367VBXP (available for free online)
Statistics: amzn.to/3tsaEER
Discrete Math: amzn.to/3qfhoUn
Number Theory: amzn.to/3JqpOQd
★DONATE★
◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons
◆ Donate on PayPal: paypal.me/wrathofmath
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
Outro music is mine. You cannot find it anywhere, for now.
Follow Wrath of Math on...
● Instagram: instagram.com/wrathofmathedu
● Facebook: facebook.com/WrathofMath
● Twitter: twitter.com/wrathofmathedu
My Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured