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log_(6)216=

log⁡6216= \log _{6} 216=

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Q. log⁡6216= \log _{6} 216=
  1. Identify Base: In log⁡6216\log_{6}216, 66 is the base.\newlineRewrite 216216 as a power of 66.\newline216=6×6×6216 = 6 \times 6 \times 6\newline216=63216 = 6^3
  2. Rewrite as Power of Base: We found: 216=63216 = 6^3\newlinelog6216log_{6}216 becomes log663log_{6}6^3.\newlineEvaluate log663log_{6}6^3.\newlineWhen the logarithm base matches the exponent base, the logarithm is equal to the exponent.\newlinelog663=3log_{6}6^3 = 3

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