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7*(2^(3x-5))=53 solve for x

 Oct 16, 2016
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\(7\times2^{3x-5} = 53\\ 2^{3x-5}=\dfrac{53}{7}\\ \log_2 (2^{3x-5})=\log_2\dfrac{53}{7}\\ 3x - 5 = \log_2\dfrac{53}{7}\\ x = \dfrac{\log_2\dfrac{53}{7}+5}{3}\)

Which is 7.920565532505595

 Oct 17, 2016

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