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in Logarithms by (46.3k points)

If log 2 = 0.3010, then find the value of log 200.

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log 2 = 0.3010 ……… (i)

log 200= log (2 x 102)

= log 2 + log 102

= log 2 + 2 log 10

= 0.3010 + 2 x 1

= 2 + 0.3010

= 2.3010

Hence, log 200 = 2.3010

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