taiwan-gsat 2022 Q1

taiwan-gsat · Other · ast__math-a 6 marks Laws of Logarithms Simplify or Evaluate a Logarithmic Expression

Let $a_1, a_2, a_3, a_4$ be a geometric sequence with first term 10 and common ratio 10. Let $b = \sum_{n=1}^{3} \log_{a_n} a_{n+1}$. Select the correct option.
(1) $2 < b \leq 3$
(2) $3 < b \leq 4$
(3) $4 < b \leq 5$
(4) $5 < b \leq 6$
(5) $6 < b \leq 7$

Let $a_1, a_2, a_3, a_4$ be a geometric sequence with first term 10 and common ratio 10. Let $b = \sum_{n=1}^{3} \log_{a_n} a_{n+1}$. Select the correct option.\\
(1) $2 < b \leq 3$\\
(2) $3 < b \leq 4$\\
(3) $4 < b \leq 5$\\
(4) $5 < b \leq 6$\\
(5) $6 < b \leq 7$

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