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Re: what is the value of b? [#permalink]
04 Feb 2012, 14:50
This post was BOOKMARKED
straight B. 36 = 2 ^2 * 3^2
If 3^a*4^b = c, what is the value of b?
Note that we are not told that the variables are integers only.
(1) 5^a = 25 --> \(a=2\), but we can not get the values of \(b\). Not sufficient.
(2) c = 36 --> \(3^a*4^b = c\): it's tempting to write \(3^2*4^1=36\) and say that \(b=1\) but again we are not told that the variables are integers only. So, for example it can be that \(3^a=36\) for some non-integer \(a\) and \(b=0\), making \(4^b\) equal to 1 --> \(3^a*4^b =36*1=36\). Not sufficient.
(1)+(2) As \(a=2\) and \(c = 36\) then \(9*4^b=36\) --> \(b=1\). Sufficient.
Re: If 3^a * 4^b = c, what is the value of b? (1) 5^a = 25 (2) c [#permalink]
30 Sep 2014, 22:42
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