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# What is the value of x?

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 6535
GMAT 1: 760 Q51 V42
GPA: 3.82
What is the value of x?  [#permalink]

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27 Nov 2017, 00:07
00:00

Difficulty:

65% (hard)

Question Stats:

40% (01:27) correct 60% (01:13) wrong based on 74 sessions

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[GMAT math practice question]

What is the value of $$x$$?

1) $$x^{2x}=1$$
2) $$x^x=1$$

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $99 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Math Expert Joined: 02 Sep 2009 Posts: 50729 Re: What is the value of x? [#permalink] ### Show Tags 27 Nov 2017, 00:10 MathRevolution wrote: [GMAT math practice question] What is the value of $$x$$? 1) $$x^{2x}=1$$ 2) $$x^x=1$$ This is a copy of the following question: https://gmatclub.com/forum/what-is-the- ... 51809.html _________________ Intern Joined: 25 Nov 2017 Posts: 3 Re: What is the value of x? [#permalink] ### Show Tags 27 Nov 2017, 16:43 Isn't 0^0 also equal to 1? Math Expert Joined: 02 Aug 2009 Posts: 7044 Re: What is the value of x? [#permalink] ### Show Tags 27 Nov 2017, 17:37 kimiah39 wrote: Isn't 0^0 also equal to 1? Hi.. there are various schools of thought .... But I would say it is undefined and at the best, controversial with values as 0,1 or undefined.. why it should not be 1.. $$0^0 = 0^{a-a}=0^a*0^{-a}=\frac{0^a}{0^a}=\frac{0}{0}$$ But anything divided by 0 is undefined _________________ 1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html GMAT online Tutor Math Expert Joined: 02 Sep 2009 Posts: 50729 Re: What is the value of x? [#permalink] ### Show Tags 27 Nov 2017, 20:08 kimiah39 wrote: Isn't 0^0 also equal to 1? 0^0, in some sources equals to 1 (not 0), some mathematicians say it's undefined. But you won't need this for the GMAT because the case of 0^0 is not tested on the GMAT. Real GMAT question would rule out this possibility by saying that $$x \neq 0$$ _________________ Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6535 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: What is the value of x? [#permalink] ### Show Tags 28 Nov 2017, 23:24 => Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we have 1 variable (x) and 0 equations, D is most likely to be the answer. 00 lies outside the scope of the GMAT exam. Condition 1) There are two possible solutions: x = 1 and x = -1. Since the solution is not unique, this condition is not sufficient. Condition 2) We have the unique solution x = 1. Since this solution is unique, this condition is sufficient. Therefore, the answer is B. If the original condition includes “1 variable”, or “2 variables and 1 equation”, or “3 variables and 2 equations” etc., one more equation is required to answer the question. If each of conditions 1) and 2) provide an additional equation, there is a 59% chance that D is the answer, a 38% chance that A or B is the answer, and a 3% chance that the answer is C or E. Thus, answer D (conditions 1) and 2), when applied separately, are sufficient to answer the question) is most likely, but there may be cases where the answer is A,B,C or E. Answer: B _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$99 for 3 month Online Course"
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Intern
Joined: 28 Nov 2017
Posts: 3
Re: What is the value of x?  [#permalink]

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28 Nov 2017, 23:52
x + 2y = 4 and your welcome :D
Re: What is the value of x? &nbs [#permalink] 28 Nov 2017, 23:52
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