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If 8^r/4^s =2^t, then what is r in terms of s and t ?

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Math Expert
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Joined: 02 Sep 2009
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If 8^r/4^s =2^t, then what is r in terms of s and t ?  [#permalink]

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New post 28 Oct 2018, 23:34
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

79% (01:04) correct 21% (01:36) wrong based on 59 sessions

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Intern
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Joined: 25 Jan 2013
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GPA: 3.64
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Re: If 8^r/4^s =2^t, then what is r in terms of s and t ?  [#permalink]

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New post 28 Oct 2018, 23:40
IMO C

2^(3r-2s) = 2^t
=> r= (2s+t)/3

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Re: If 8^r/4^s =2^t, then what is r in terms of s and t ?  [#permalink]

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New post 28 Oct 2018, 23:44
2^3r / 2^2s = 2^t
2 ^ (3r-2s) = 2^t
3r - 2s = t
3r = 2s+t
r = (2s+t)/3 ....... CORRECT ANSWER = C
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Re: If 8^r/4^s =2^t, then what is r in terms of s and t ?   [#permalink] 28 Oct 2018, 23:44
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If 8^r/4^s =2^t, then what is r in terms of s and t ?

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