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

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

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