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