csat-suneung 2007 Q27

csat-suneung · South-Korea · csat__math-humanities 4 marks Laws of Logarithms Characteristic and Mantissa of Common Logarithms

For $a$ with $0 < a < 1$, when $10 ^ { a }$ is divided by 3, the quotient is an integer and the remainder is 2. What is the sum of all values of $a$? [4 points]
(1) $3 \log 2$
(2) $6 \log 2$
(3) $1 + 3 \log 2$
(4) $1 + 6 \log 2$
(5) $2 + 3 \log 2$

For $a$ with $0 < a < 1$, when $10 ^ { a }$ is divided by 3, the quotient is an integer and the remainder is 2. What is the sum of all values of $a$? [4 points]\\
(1) $3 \log 2$\\
(2) $6 \log 2$\\
(3) $1 + 3 \log 2$\\
(4) $1 + 6 \log 2$\\
(5) $2 + 3 \log 2$

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20 Q21 Q22 Q23 Q24 Q25 Q26 Q27 Q28 Q29 Q30