AwashawvJung AwashawvJung

31-07-2016
Mathematics

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solve: 2^2x=8^x-1 for x

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dalendrk dalendrk

31-07-2016

[tex]2^{2x}=8^{x-1}\\\\2^{2x}=(2^3)^{x-1}\\\\2^{2x}=2^{3(x-1)}\iff2x=3(x-1)\\\\2x=3x-3\ \ \ |subtract\ 3x\ from\ both\ sides\\\\-x=-3\ \ \ |change\ the\ signs\\\\\boxed{x=3}[/tex]

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