Math  /  Algebra

QuestionCondense the expression usi
9. 2logx3logy2 \log x-3 \log y

Studdy Solution
Apply the quotient rule of logarithms, which states that logalogb=log(ab) \log a - \log b = \log \left(\frac{a}{b}\right) .
Combine the terms using the quotient rule:
logx2logy3=log(x2y3) \log x^2 - \log y^3 = \log \left(\frac{x^2}{y^3}\right)
The condensed expression is:
log(x2y3) \boxed{\log \left(\frac{x^2}{y^3}\right)}

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