A Nice Math Olympiad Exponential Equation 3^x = X^9

Now show that is the only solution

I will look at mcq and substitute x with each of them to find answer

Take log both sides…why to do so much!

Logs would have accomplished the same thing

Is this really a trick to solve the problem or just something that's straightforward once you already know the solution? It's like showing someone how to solve to a maze as - "just turn here then here then here!"

Most questions usually accept the multiplication of numbers that are in the question as the answer. In this case 3*9, there can be many answers but an easy one

When x=x, 3*9=27
So x=27.
Why is the complicating then?

I'ts the same to use one solution in equations of 2° degree when b^2-4ac#0

Eu tentaria resolver com log... Sei lá, achei estranha essa forma de resolver 😅

log

I was thinking about Ln😢

I always assume we should use logarithmic equations for such questions but they never do so🥲

How was I ever in AP math? I've forgotten all this. 😢

Isn't this just "guess and check" with extra steps?

Cool

Nice

So it's just 3x9.

omg why all the math recommended to me!!!

all very nice, but I am of the opinion that in mathematics either you see these things and therefore know how to solve them or even if you try hard you will never solve them, simply if you are not inclined, the solution will never come to your mind

Nothing to undestand but its nice writing style😂

This math question have principle.

3x=7,
x=7/3
x=2.333333

3××××××××××X=9××××××××××××X

X=3×9?

I laughing i don't know why, thanks for make my day better

Much easier to use logic. If we stay w whole numbers, X has to be root 3 and larger than 9. First up is 27. Falls into place.

3^0= 1^9…. I rest my case

Why are you able to multiply both the radicant & index by 3? Just to get the equation to work?

Now I can sleep better knowing this is solved.

You do know that a trick must work on everything, right?
Else its not a real trick.

When you reach the end : oh you motherf-

When you see in the comments that it's not even the final answer : OH YOU MOTHERF-

Is it possible to state the following?:
If A^B = B^C then B=A*C

I'm not at all math inclined but I just bappen to notice 27 is 3*9 and they also happen to be in the base question

When and where you gonna use this?
I mean... can I use this in real life? What situation?

Bahut tough kar diya bhai ji 😂😂😂😂😂😂😂

American math is pathetic

I hate the comments

Useless math you will never use

Nice but thoda jaldi solve Karo... itne me exam khatam na ho jaye

This is unnecessarily long and the song is annoying af. But ok.

He writes 9 like q, huh... confusing....

Cometi um erro

Take log both sides.

Do I have to do it left handed?

It's difficult 😊

I was Confidently say 3x9 is 27

正确的解题思路和方法是对等号两边同时取Log, 将复杂的指数形式变成对数形式，经运算后即可得到解。

Why don't you Log both sides?

Math 🥴😫🤕

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