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log8 4(square root sign) 1/2
14 years ago

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Reiny
log<sub>8</sub> 4√(1/2)

recall that log<sub>a</sub>a^k = k

so we have to change 4√(1/2) to base 8

4√(1/2)
= 4/√2
= 4/√2 (√2/√2)
= 2√2
= (8^(1/3)) (8^(1/6))
= 8^(1/2)

so log<sub>8</sub> 4√(1/2)
= log<sub>8</sub> 8^(1/2)
= 1/2
14 years ago

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