Discussion
If log 27 = 1.431, then the value of log 9 is:
Answer: C
Express 9 as a power of 27 so the given logarithm can be reused. Since \( 27 = 3^{3} \) and \( 9 = 3^{2} \),
\[ \log 9 \;=\; \log 27^{\,2/3} \;=\; \tfrac{2}{3}\log 27 \;=\; \tfrac{2}{3}\left(1.431\right) \;=\; 0.954 \]
The step that does the work is the power rule, \( \log a^{n} = n\log a \). Nothing here needs a table: any logarithm of a power of 3 follows from \( \log 27 \) once the exponent is written as a fraction of 3.
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