SOLUTION: Find the value of X, (X²⁰²¹+X²⁰²¹+X²⁰²¹)/X²⁰²⁰ = 30

Algebra.Com
Question 1206799: Find the value of X,
(X²⁰²¹+X²⁰²¹+X²⁰²¹)/X²⁰²⁰ = 30
Found 5 solutions by ikleyn, MathTherapy, greenestamps, math_tutor2020, Edwin McCravy:
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
Find the value of x      = 30
~~~~~~~~~~~~~~~~~~~~ 

The given equation is equivalent to

    3X = 30

     X =  = 10.


ANSWER.  X = 10.

Solved.

Level of complexity is of   2*2 = 4.


=================


Comment from student : Thanks but I still don't understand what happened to the denominator X²⁰²⁰


My response : It could be unclear before I posted my solution to you;

                      but after that,  it must be clear that      in the denominator was canceled with      in the numerator.



Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
Find the value of X,
(X²⁰²¹+X²⁰²¹+X²⁰²¹)/X²⁰²⁰ = 30


(x²⁰²¹ + x²⁰²¹ + x²⁰²¹)/x²⁰²⁰ = 30

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


Divide each term in the numerator by the denominator and simplify:



Each term in parentheses is equal to



Then
Answer by math_tutor2020(3817)   (Show Source): You can put this solution on YOUR website!

Let

Multiply both sides by x



The original equation can be rewritten like this





At this point it's fairly easy to see that x = 10.
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!

Find the value of x:



You see that all 3 terms in the numerator are the same, right?

So we have:



You know that to divide exponentials with the same base we subtract their
exponents and keep the same base, right?

So we subtract the exponents 2021-2020, right?



The exponent of x is now just 1, right?



We don't have write a 1 exponent, right?



Divide both sides by 3

.

So your question was "What happened to the 2020 exponent in the denominator"? 

The answer is that it got subtracted from the exponent 2021 in the numerator
and that left an exponent of only 1.

Edwin
RELATED QUESTIONS

find the value of x if x + x + x =... (answered by )
The angles of a pentagon are x, 2x, x+30, Xtake away 10, x+40degrees find the value of... (answered by stanbon)
30/x = 9/5 What is the value of... (answered by cwmcwilly07)
Solve for the value of x if... (answered by Fombitz)
If the arithmetic mean of 18,23,28,x,43 is 30 ,then find the value of x... (answered by abdulaleem)
find the value of x (answered by Manny Pacquiao)
find the value of x. (answered by tommyt3rd)
find the value of X (answered by richwmiller)
Find the value of x.... (answered by Alan3354)