Logarithm

If log 2 = 0.3010 and log 3 = 0.4771, the value of log₅ 512 is:

A 2.870

B 2.967

C 3.876

D 3.912

ANS:C - 3.876

log₅ 512

=	log 512
	log 5

=	log 2⁹
	log (10/2)

=	9 log 2
	log 10 - log 2

=	(9 x 0.3010)
	1 - 0.3010

=	2.709
	0.699

=	2709
	699

= 3.876

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