#60 3.04 Precalculus questions

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nqnzsneal18

Mathematics

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Explanation & Answer

x must be > 0 under the log.

log_4(x) - log_4(x-1) = log_4[x/(x-1)] = 1/2.

Take 4^ of both sides: x/(x-1) = 4^(1/2) = 2.

x = 2x - 2, x = 2 (yes it is > 0)


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