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Solve for x to the nearest hundreth for an algebraic solution. 2^(x-2)=54
14 years ago

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helper
2^(x-2)=54
take logarithm of both sides
(x - 2)log 2 = log 54
x log 2 - 2 log 2 = log 54
x log 2 = log 54 + 2 log 2
x = (log 54 + 2 log 2)/log 2


find above logs
x = 7.75 approx
14 years ago

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