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which equation can you use to evaluate \\(\\log_{6} 1,296\\)? \\(a^{6} …

Question

which equation can you use to evaluate \\(\log_{6} 1,296\\)?

\\(a^{6} = 1,296\\)
\\(6^{a} = 1,296\\)
\\(6a = 1,296\\)

Explanation:

Define the logarithmic equation

Using the Logarithmic Evaluation knowledge point

$$ \text{Let } \log_{6} 1,296 = a $$

Convert to exponential form

Using the Logarithmic Evaluation knowledge point

$$ 6^a = 1,296 $$

Answer:

  • (A) \(a^6 = 1,296\)
  • (B) \(6^a = 1,296\) (Correct answer)
  • (C) \(6a = 1,296\)