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NikAS [45]
4 years ago
14

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

Mathematics
1 answer:
lilavasa [31]4 years ago
3 0
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}
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