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If n is an integer and (3)^2n = 3^12n ,
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22 Mar 2023, 11:44
22 Mar 2023, 11:44
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Question Stats:
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If n is an integer and \((–3)^{2n} = 3^{12–n} \), then what is the value of n?
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Re: If n is an integer and (3)^2n = 3^12n ,
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15 Apr 2023, 09:31
15 Apr 2023, 09:31
Expert Reply
\(2n=12-n\)
\(3n=12\)
\(n=4\)
\(3n=12\)
\(n=4\)
Re: If n is an integer and (3)^2n = 3^12n ,
[#permalink]
07 Oct 2023, 08:42
07 Oct 2023, 08:42
Carcass wrote:
\(2n=12-n\)
\(3n=12\)
\(n=4\)
\(3n=12\)
\(n=4\)
I thought that because LHS has -3, we should first square both sides and then solve for n. Although, since LHS has an even power, this approach will also work, I think. Any thoughts Carcass?
