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# What is the value of b ? (1) b^4 = 16 (2) 7^(3b− 4) = 49

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Math Expert
Joined: 02 Sep 2009
Posts: 50585
What is the value of b ? (1) b^4 = 16 (2) 7^(3b− 4) = 49  [#permalink]

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23 Nov 2017, 05:49
00:00

Difficulty:

25% (medium)

Question Stats:

81% (00:34) correct 19% (00:33) wrong based on 44 sessions

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What is the value of b ?

(1) b^4 = 16

(2) 7^(3b − 4) = 49

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Joined: 21 Aug 2013
Posts: 1365
Location: India
Re: What is the value of b ? (1) b^4 = 16 (2) 7^(3b− 4) = 49  [#permalink]

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23 Nov 2017, 09:43
(1) b^4 = 16
b could be 2 or -2. Not sufficient.

(2) 7^(3b-4) = 49
now there is only one power of 7 which can give result as 49, and that is '2'.
So 3b-4 = 2 or b=2. Sufficient.

Re: What is the value of b ? (1) b^4 = 16 (2) 7^(3b− 4) = 49 &nbs [#permalink] 23 Nov 2017, 09:43
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