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Given that log x=2, log y = 4, and log 3-0.5, evaluate the following expression without using a calculator log (3x?y) log (3x
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Answer #1

log(ab) = loga + logb

log(a​​​​​​n) = n log(a)

Given, log3 = 0.5, log x =2, log y = 4

.

log(3x2y) = log(3) + log(x​​​​​​2​​​) + log(y)

= Log(3) + 2 log(x) + log(y)

= 0.5 + 2 (2) + 4

= 8.5

Answer is 8.5

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