how to solve exponential equation

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how to solve exponential equation
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Sometimes using a little logic is more effective than applying algebra. If 2016 is the difference of two powers of 2, then the larger power of 2 has to be 2¹¹ = 2048. (The next power of 2 is 2¹² = 4096. This number minus any smaller power of 2 must be at least 2¹¹.) 2048 - 2016 = 32 = 2⁵. So we immediately determine the exponents are 11 and 5 - no algebra required!

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