Logarithms Q6

6.	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

Answer: Option C

Explanation:

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