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mathplanet.com
Which value of m gives a non-integer? - Mathplanet
Solution Take the logarithm for both sides and solve for \(n\): \begin{align}m^n&=256\\ \log{m}^n&=\log{256}\\n\log m&=\log{256}\\n&=\frac{\log256}{\log m} \end{align}The value of \(m\) that will give a non-integer is 8:$$n=\frac{\log256}{\log 8}\approx 2.7$$ which is non intiger.Answer: B
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