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Express in index form: log\(_a^x\) + log\(_a^y\) = 3 

Mathematics
WAEC 2024

Express in index form: log\(_a^x\) + log\(_a^y\) = 3 

  • A. x + y = 3
  • B. xy = 3
  • C. xy = a\(^3\)
  • D. x + y = a\(^3\)
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Correct Answer: Option C
Explanation

According to the laws of logarithms:  log\(_a^x\) + log\(_a^y\) = 3 

= log\(_a^{xy}\) =3 and this in index form 

= xy = a\(^3\)

 

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