मराठी

Which expression gives the quotient rule for logarithms?

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प्रश्न

Which expression gives the quotient rule for logarithms?

पर्याय

  • \[\log_b\left(\frac{x}{y}\right)=\frac{\log_b x}{\log_b y}\]

  • \[\log_b\left(\frac{x}{y}\right)=\log_b x-\log_b y\]

  • \[\log_b\left(\frac{x}{y}\right)=\log_b x+\log_b y\]

  • \[\log_b\left(\frac{x}{y}\right)=y\log_b x\]

MCQ
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उत्तर

The quotient rule changes division inside a logarithm into subtraction. Hence, \[\log_b\left(\frac{x}{y}\right)=\log_b x-\log_b y\].

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