Equivalent Expressions

SAT Math· difficulty 4/5

Which is equivalent to log(a2b)\log(\frac{a^2}{b})?

  • A

    log(2ab)\log(2a - b)

  • B

    2logalogb2\log a \cdot \log b

  • C

    loga2+logb\log a^2 + \log b

  • D

    2logalogb2\log a - \log b

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Explanation

log(a2b)=loga2logb=2logalogb\log\left(\frac{a^2}{b}\right) = \log a^2 - \log b = 2\log a - \log b.

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