Basic Maths and Logarithm
Logarithmic Equations
Premium Question
Grade 11
Question:
If $\log_3(\log_3(\log_3 x)) = \log_3 3$, then $x$ equals:
(1) $3^{27}$
(2) $27$
(3) $3^9$
(4) $3^3$
Step-by-Step Solution
Key Concept: $\log_3(\log_3 x) = 3 \Rightarrow \log_3 x = 3^3 = 27 \Rightarrow x = 3^{27}$.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: (1)