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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

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