Solving Exponential Equations Using Logarithms & The Quadratic Formula

This math video tutorial explains how to solve exponential equations using logarithms and using the quadratic formula.

Logarithms - Free Formula Sheet:

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Logarithms - The Easy Way!

Log to Exponential Form:

Change of Base Formula:

Change of Base Log Problem:

Properties of Logarithms:

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Expanding Logarithmic Expressions:

Condensing Logarithmic Expressions:

Natural Logarithms:

Solving Exponential Equations:

Exponential Equations - Quadratic Form:

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Solving Logarithmic Equations:

Graphing Logarithmic Functions:

Graphing Exponential Functions:

Compound Interest Word Problems:

Logarithms Practice Problems:

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Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

[jonathan-wwsx]

I really like how he repeats the concepts and properties to remind us. It's actually really helpful and not repetitive. It's great practice.

[maxamedaxmedn]

Yes i saw this example before many times but at this time actually i understood it very well because you explain things in a very understandable way

[zanemiracle]

I saw this on flammable maths, I'm glad this channel is showing it too!

[innovbrain]

Ohhh thank you soo soo much finally someone who said we can divide x exponentials and get them subtracted. I consulted over 40 exponential equation videos and they all complicated the problem solving to an extent that no one allowed the exponentials division method. Thank youu

[georgesadler]

MR. Organic Chemistry, thank you for another video on Solving Exponential Equations.

[beanbean]

I just wanna say thank you and I love u man❤

[dawnadmin]

Nice! Next time, you might leave the substitution for y up while it’s still being used, for clarity. You might also have simplified the symbolic solution using the change-of-base theorem, to log_2 [(1+√5))/2]. or using the ɸ (phi) symbol for the Golden Ratio that you mentioned and Donald Knuth's notation lg for the binary logarithm that is so important in computer science, lg ɸ - 1.

[swatitripathi]

9:45
Just in case someone needs a linear equation for it :
x = ((log((1+√5)÷2)÷log(2))

[bigshaqsmathematicalinstit]

This is good practice for students taking elementary algebra!

[eddjon]

By definition of the log you can also skip the division by log(2) by converting x= log(y) in base 2; in Excel: =LOG((1+SQRT(5))/2;2)

[ardenkwong]

You also just proved phi plus phi squared equals phi cubed!!!
Congratulations Golden Ratio fans!

[jrswizzle]

I took pre cal dual credit last year and I mastered it completely and looking at this now I’m forgetting all the rules that goes to these things, im afraid I’ll forget all of this 😂

[sailbyzantium]

Excellent! Thanks for this--very helpful.

[Dumb-Comment]

The further it goes the more confusing it gets

[에스피-zg]

2^x=t, t>0
t^3-t^2-t=0
t(t^2-t-1)=0
t>0, t=(1+rt5)/2
2^x=(1+rt5)/2
x=log_2[(1+rt5)/2]

[mudassarm]

it was so easy ... the channel, Mind your decisions gives more challenging problems.

[Howto-psrm]

1:57 ... why did you divide the numbers with 2^x but not other number

[johubify]

DUDE, FLAMMABLE MATHS GOT HACKED, PLEASE SPREAD AWARENESS

[zachh]

When an add in the middle of a math youtube video disses math youtube videos... It's like getting paid to have your competition advertise in your video.

[unusaurus]

that last question is just "don't judge a book by it's cover"