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solve: \\(72 = \\log x\\) \\(\\bigcirc\\) \\(x = 72 + \\log 1\\) \\(\\b…

Question

solve: \\(72 = \log x\\)

\\(\bigcirc\\) \\(x = 72 + \log 1\\)

\\(\bigcirc\\) \\(x = 72^{10}\\)

\\(\bigcirc\\) \\(x = 10^{72}\\)

Explanation:

Identify the given equation

Using the Solving Logarithmic Equations knowledge point

$$ 72 = \log x $$

Apply the definition of a common logarithm

Using the Solving Logarithmic Equations knowledge point

$$ \log_{10} x = 72 \implies x = 10^{72} $$

Answer:

  • \(x = 72 + \log 1\)
  • \(x = 72^{10}\)
  • \(x = 10^{72}\) (Correct answer)