Solving Complex Logarithmic Equations

This video explains how to solve complex logarithmic equations using properties of logarithms such as the change of base formula, the power rule, and other stuff.

Log to Exponential Form:

Change of Base Formula:

Change of Base Log Problem:

Properties of Logarithms:

____________________________________
Expanding Logarithmic Expressions:

Condensing Logarithmic Expressions:

Natural Logarithms:

Solving Exponential Equations:

Exponential Equations - Quadratic Form:

_______________________________________
Solving Logarithmic Equations:

Graphing Logarithmic Functions:

Graphing Exponential Functions:

Compound Interest Word Problems:

Logarithms Practice Problems:

_______________________________________
Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

Logarithmic Formula Sheet:

[georgesadler]

MR. Organic Chemistry Tutor, thank you for explaining and solving in a step-by-step process Complex Logarithmic Equations. This kind of teaching style is rare and off the learning charts.

[onegaimatte]

Do you have like a playlist of the lessons that you have so you can track of the lessons that we first need to learn before going to the next one? I really want to learn this but I don't know what to learn first before learning this one.

[redstoneplayz]

At the last problem, for example, you forgot to add that x could also equal to -2. Having -2 and 2 to the power of 16 won't change the answer. (I also checked at a calculator and it's true).

[reinipink]

Why am I watching a math video on Christmas break..?🤦🏽‍♀️

[tcistrash]

It's so easy, and yet my brain refuses to acknowledge this and proceeds to forget about it

[georgettebeulah]

This video does emphasize on the best that I can understand

[jimdeal]

This just makes my math class a lot easier cuz now instead of listening to my teacher lecture I can watch a ten minute video

[yuhaozhang]

Could these questions come up on a Additional mathematics IGCSE paper?

[jorgemendieta]

Thank you so much. You are soooo smart. God bless you!!!!

[xuanyidu]

thanks, this video has helped me a lot

[Aaron-lpzt]

should use a better adjective to not confuse with complex analysis

[timgoppelsroeder]

Could you not name it complex log? since that is a the log function in the complex plane (imaginary and real numbers) and you here are explain normal log function

[johnwalker]

Nice video, although you should probably adjust the title to something like "Solving Complicated Logarithmic Equations." Otherwise, it might give the impression that you'll be covering the way logarithms behave with complex variables and involving imaginary number solutions as opposed to the way logarithms work under algebra with only real variables and real solutions.

[KamiylahIsreal]

I dont know any of this yet im watching....

[ronnieliu]

for the second equation, x can also equal to -2. x=4^(1/2)=2 or -2

[bogdant.]

You forgot the existence conditions for logarithm

[niranjanhalderb]

This is quite easy problem just remove logs in all the steps

[papaybani]

3 raised to 2 is... Everything here
.
.
.
.
.
.
Lol
When you're tired of saying long equations

[DylanMcMahon-pmbm]

this is a COMPLICATED log problem. it's not complex. not what i need :/

[zufanmisgana]

I don't think the first question is complex