Logarithmic Form to Exponential Form (Natural Log Edition) 🤯 #Shorts #algebra #math #education

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All you have to do is remember that logb(b^y)=y and so loge(e^x)=x

xerosfs
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Or you could just note than ln(e^2) is, in fact, 2 from the definition of what a logarithm is...

TheEulerID
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Just need to know that ln(e^x) is equal to x so it will be much easier to apply this property

Mehdi-iort
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ln e^2=x
log e(e^2)=x
log e^1(e^2)=x using logb^n(b^m) property
ln e^2=2

Shark
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Okay, but... I mean, cant we just do:
Ln e 2=x => 2=x
Because ln and e are just like ² and √

Roxi-crnc
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Bruh e as the base and natural log dorectly cancels

Robin-Dabank
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ln e ² equals 2 ln e and ln e equals one so x equals 2

xidwcpm
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no transformations needed though

just use the laws of Logarithms or whatever they're called.

logarithms of number with exponents is just the exponent times the logarithms of the base

or

ln(a^x)=xln(a)

then Logarithms of similar bases

ln(e)=1 log(10)=1 log base 2 (2)=1

vennstudios
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Where is the log came from? And why ln is called natural log? Who invented or who is the mathematicians that named the functions as log? When it was introduced in mathematics and its first applications?

juanj.smithrobertob.sarcos
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This can be done so easily with other method

loidforger
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you have to remember that the answer should be in the format of m/n, the exponent of e divided by the base's power.

plorcz
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Why I hear the word "derivative" in the song? 😮

_SweetLittleAngel_
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Or raise both sides to power of E. E^x = E^2

hadadproductions
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Or we simplify ln(e²) because ln and e ( when its a base ) simplify each other

saliryakouli
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ln(e^2) = 2ln(e) = 2
bcz we know ln(e)=1

mehrdadrahaaei
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In respect of e, the power is 2 already ( the value of x).

jagadiswarchakraborty
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i did it when he was doing it because you have to cancel in and e

lady
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I would just bring the exponent out in front so you have 2 x ln(e) which is 2

NotxarbProd
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Wait ln=1/x so ln(e²)=e²/x
e²=x.x
e²=x²
e=x
Correct me if i did mistake

HINDURASTRA
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Or just if Ln(e any number)=those any number

Donnatell