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Re: QOTD # 12 If t is an integer and 8m = 16 t , which of the fo [#permalink]
09 Sep 2016, 07:27

Expert's post

Explanation

Note that all of the choices are expressions of the form 2 raised to a power. Expressing 8 and 16 as powers of 2, you can rewrite the given equation \(8m = 16^t\) as \(2^3\) m = \(2^4t\) .Solving for \(m\) and using the rules of exponents, you get

Re: QOTD # 12 If t is an integer and 8m = 16 t , which of the fo [#permalink]
24 May 2017, 22:53

Can someone explain why the answer is not Choice A, 2^t? It seems that the most direct way to simplify the equation and have m defined in terms of t is to divide by 8. 8m=16^t, so m=2^t. Why is this answer incorrect?