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If log(10)2= 0.3010 and log(10)3= 0.4771...

If `log_(10)2= 0.3010 and log_(10)3= 0.4771` , then the value of `log_(10)((2^(3) xx 3^(2))/(5^(2)))` is

A

0.4592

B

0.5492

C

0.4529

D

0.5429

Text Solution

Verified by Experts

The correct Answer is:
A
Apply lows of logartihm.
(ii) Use `log(a/b) = log a- log b and log a^(m) = m loga`
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