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If log (0.57) = 1756, then the value of log 57 + log (0.57) 3 + log √ 0.57 is?

Correct Answer: 0.902

Explanation:

Given Exp.
= log (57 x 100 / 100) + 3log(0.57) + 1/2log(0.57)
= log (0.57) + log 102 + 3log(0.57) +1/2log (0.57)
= (1 + 3 + 1/2) log(0.57) + 2 [∵ log102 = 2]
= (4.5 x 1.756) + 2 = 4.5 x (-1 + 0.756) + 2
= 3.402 - 4.5 + 2
= 0.902


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