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Evaluate. \newlinelog⁡3(27)\log_{3}(27)

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Q. Evaluate. \newlinelog⁡3(27)\log_{3}(27)
  1. Identify Base and Number: Identify the base of the logarithm and the number whose logarithm is to be found.\newlineIn log⁡327\log_{3} 27, 33 is the base and 2727 is the number.\newlineRewrite 2727 as a power of 33.\newline27=3×3×327 = 3 \times 3 \times 3\newline27=3327 = 3^{3}
  2. Rewrite Number as Power: We found that 27=3327 = 3^3. Now, log⁡327\log_3 27 becomes log⁡333\log_3 3^3. Evaluate log⁡333\log_3 3^3. When the base of the logarithm matches the base of the exponent, the logarithm is equal to the exponent. log⁡333=3\log_3 3^3 = 3

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