Question 24
LogarithmsGiven that 10x = 0.2 and log10 2 = 0.3010, find x.
- A.−1.3010
- B.−0.6990
- C.0.6990
- D.1.3010
- E.0.02.
Show the answer and explanation
Answer: B (−0.6990)
Explanation
x = log₁₀ 0.2 = log₁₀ 2 − log₁₀ 10 = 0.3010 − 1 = −0.6990.
Given that 10x = 0.2 and log10 2 = 0.3010, find x.
Answer: B (−0.6990)
x = log₁₀ 0.2 = log₁₀ 2 − log₁₀ 10 = 0.3010 − 1 = −0.6990.