Find the value of log\(_{10}\)\(\frac{1}{40}\), given that log10\(_4\) = 0.6021

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Mathematics JAMB 1979

Find the value of log\(_{10}\)\(\frac{1}{40}\), given that log10\(_4\) = 0.6021

  • 1.3979
  • 2.3979
  • -1.6021 checkmark
  • 2.6021

The correct answer is: C

Explanation

log\(_{10}\)\(\frac{1}{40}\) = log\(_{10}\)1 - (log\(_{10}\)4 + log\(_{10}\)10)

= 0 - 1.6021

= -1.6021

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