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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
Joined: 02 Sep 2009
Posts: 58350
If 8^r/4^s =2^t, then what is r in terms of s and t ?  [#permalink]

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28 Oct 2018, 23:34
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Difficulty:

15% (low)

Question Stats:

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

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If $$\frac{8^r}{4^s}=2^t$$, then what is r in terms of s and t ?

A. $$s + t + 1$$

B. $$s + t + 5$$

C. $$\frac{2s+t}{3}$$

D. $$\frac{2st}{3}$$

E. $$\frac{s}{2}+\frac{t}{4}$$

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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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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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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
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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