If log 2 = 0.3010 and log 3 = 0.4771, the value of log5 512 is: A . &nbsp2.870 B . &nbsp2.967 C . &nbsp3.876 D . &nbsp3.912

Answer: Option C log 5 512 = log 512 log 5 = log 2 9 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

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

Logarithm

Question

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

Solution
Answer: Option C

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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