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Re: If 8^(1/2) = 4^x, what is the value of x?
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22 Jun 2017, 05:44

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Top Contributor

Bunuel wrote:

If \(8^{(\frac{1}{2})} = 4^x\), what is the value of x?

A. 1/2

B. 1

C. 2

D. 3

E. 4

Given: \(8^{(\frac{1}{2})} = 4^x\)

Rewrite 8 as 2³ and 4 as 2² to get: (2³)^(1/2) = (2²)^x Apply power of a power law to both sides: 2^(3/2) = 2^(2x) So, we can conclude that 3/2 = 2x Divide both sides by 2 to get: 3/4 = x

Concentration: General Management, Entrepreneurship

GPA: 3.8

WE: Engineering (Energy and Utilities)

Re: If 8^(1/2) = 4^x, what is the value of x?
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22 Jun 2017, 05:46

mynamegoeson wrote:

Bunuel wrote:

If \(8^{(\frac{1}{2})} = 4^x\), what is the value of x?

A. 1/2

B. 1

C. 2

D. 3

E. 4

\(8^(1/2)\) = 2.83

Putting values of x in 4^x

if x=1/2, 4^x = 2 If x=1, 4^x=4 if x=2, 4^x = 16

Closest value is 2 hence A

Please correct me if i am wrong

I don't think we can work with closest value.. No approximation is asked in question. Also approximating 2.83 to 2 is not the right way of solving quantitative questions.. We must keep in mind that approximation should look like approximation.. I think here the options are wrong...
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Concentration: General Management, Entrepreneurship

GPA: 3.8

WE: Engineering (Energy and Utilities)

Re: If 8^(1/2) = 4^x, what is the value of x?
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22 Jun 2017, 07:05

Bunuel wrote:

Bunuel wrote:

If \(8^{(\frac{1}{2})} = 4^x\), what is the value of x?

A. 1/4

B. 2/3

C. 3/4

D. 4/3

E. 1

Apologise to all of you. Copied options of another question here. Edited.

No issues Bunuel .. You are doing great work.. You have posted so many questions on daily basis. So sometimes you might get confused with options.. Humans But your work is helping us a lot in preparation of Quant. Keep up the good work..
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Re: If 8^(1/2) = 4^x, what is the value of x?
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05 Feb 2019, 06:25

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