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If log\(_{10}\) 2 = m and log\(_{10}\) 3 = n, find log\(_{10}\) 24 in terms of m and...

Mathematics
WAEC 2021

If log\(_{10}\) 2 = m and log\(_{10}\) 3 = n, find log\(_{10}\) 24 in terms of m and n.

  • A. 3m + n
  • B. m + 3n
  • C. 4mn
  • D. 3mn
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WAEC offline past questions - with all answers and explanations in one app - Download for free
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Correct Answer: Option A
Explanation

log\(_{10}\) 24 = log\(_{10}\) 8 \(\times\) log\(_{10}\) 3

where log\(_{10}\) 8 = 3 log\(_{10}\) 2 = 3 \(\times\) m

and log\(_{10}\) 3 = n

: log\(_{10}\) 24 = 3m + n


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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC offline past questions - with all answers and explanations in one app - Download for free
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995