Given that 10x = 0.2 and log102 = 0.3010, find x

A.
1.3010 
B.
0.6990 
C.
0.6990 
D.
1.3010 
E.
0.02
Correct Answer: Option B
Explanation
Given that log102 = 0.3010, If 10x = 0.2
log1010x = log10 0.2 = log10
xlog10 10 = log10 2 – log1010 since log10 10 = 1
x = 0.3010 – 1
x = 0.6990