Q. 105.0( 1 Vote )

log108 + log105– log104 =
A. log109

B. log1036

C. 1

D. – 1

Answer :

Consider, log108 + log105– log104 = log10(8× 5) – log104


(since, logaM + logaN = loga(M× N) )


log108 + log105– log104 = log10(40) – log104


= log10(40 ÷ 4)


(since, logaM – logaN = loga(M÷N) )


log108 + log105– log104 = log10(10) = 1 (since, logaa = 1)


Thus, correct answer is (C)

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