Basic Maths and Logarithm
Properties of Logarithms
Premium Question
Grade 11
Question:
The value of $\log_2[\log_2(\log_3(\log_3 27^3))]$ is:
(1) $0$
(2) $1$
(3) $2$
(4) $-1$
Step-by-Step Solution
Key Concept: Work inward: $27^3 = 3^9 \Rightarrow \log_3(3^9) = 9 \Rightarrow \log_3 9 = 2 \Rightarrow \log_2 2 = 1 \Rightarrow \log_2 1 = 0$.
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Correct Answer: (1)