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Solve the nested exponential equation
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51,829 Views • Jan 11, 2023 • Click to toggle off description
Important mathematics skills are explained. Step-by-step tutorial by PreMath.com

#Shorts #Math #Maths #PreMath #MathTricks #MathTrick #MathTrickHacks #MathHack #MathHack #short #Exponential #Solve #ExponentialEquations

Solve the nested exponential equation

   • Solve the nested exponential equation  

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Uploaded At Jan 11, 2023 ^^


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RYD date created : 2023-12-07T10:48:50.19596Z
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26 Comments

Top Comments of this video!! :3

@chandankumargupta8174

2 years ago

👌👌👌👌👌👌💪

12 |

@alfonsorodriguez2739

1 year ago

This is a special case of x^x^x…..^x^a=a which is just x^a=a. This is easy to prove.
Let x^a=a and let’s show that it is equivalent to x^x^a=a.

So let x^a=a then take x=x which is true and raise it to “a” which gives you x^a=x^a.
Now substitute x^a for the a in the right side of the equation and substitute a for x^a to the left side of the equation to get x^x^a=a. In this problem, a=77 so x^x^77=77 is equivalent to x^77=77 and therefor x=77^(1/77).
In fact, we can keep doing this process and get that x^x^x……..x^a=a is the same as x^a=a which we can then solve.

3 |

@gdtutorial

1 year ago

Wai-, did u just made a mistake..?


• x^x^77 = (77)
• √(x^x^77)⁷⁷ = √(77)⁷⁷
• x^x = √(77)⁷⁷ ≠ x

3 |

@abhijitsanyal1729

1 year ago

If you take logarithms both side then the solution becomes easier

9 |

@INeed94Cents

2 years ago

I'm guessing this is for indians given the names in the comments, but as an American who likes math this was a very enjoyable video. You have a really soothing voice.

21 |

@sy2008

2 months ago

​I have a doubt
(aª)​⁷⁷=77
So what the value
You had given the answer one year ago video
So a=77 rod 77
Bue i think it not possible
Because
(aª)⁷⁷*⁷⁷=77⁷⁷
a⁷⁷=77
So before qusetion (aª)⁷⁷=77
So a⁷⁷=aª*⁷⁷
77a=77
a=1
1 can't be there
So Ithink it not possible to
a=77rod77
Can you sendmethe correct answer
😊😊😊😊😊@Pr

|

@dhonikumarshahi2806

2 years ago

This is something really very great

1 |

@sy2008

2 months ago

If (aª)⁷⁷=a⁷⁷
So 77a=77
a=77÷77
=1
So( 1¹)⁷⁷not =77
How is it possible

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@anshumansingh9583

2 years ago

sir can you explian this question by logrithm method

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@noskillman5275

2 years ago

About a^a=b^b => a=b
This property is false, look at the graph of x^x and you will see that x^x = c can have two solutions

Edit : It's actually true for c>1, but definitely not trivial

2 |

@manueluochoa7239

1 year ago

Humanity is different.

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@ACheateryearsago

2 years ago

Wait isn't the question in x to the power of x to the power of 77? So how did you replace the position of 77 and x as if it's in multiplication form?

Like, X^77X≠X^X^77

3 |

@RSR057

2 years ago

Sir, I am very confused in HCF of 0, 6
Some say ans 6 will come and some say ans is not define.
If ans 6 is right ans then it is not proved by by the othe method(division method).
Sir, Big question= What is the factor 0
Sir sir please give me a ans

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@Ghost2T

1 year ago

aᵃ=bᵇ <=> a=b
0⁰=2² <=> 0=2 (wrong😂

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@ivangoogle31

1 year ago

Can't you use log?

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