If $x = \log_{5}(1000)$ and $y = \log_{7}(2058)$,then:

  • A
    $x > y$
  • B
    $x < y$
  • C
    $x = y$
  • D
    None of these

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What is the number of solutions for the equation $\log_4(x - 1) = \log_2(x - 3)$?

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The expression $\log_{a} x$ is defined for $(a > 0, a \neq 1)$ when:

If $\log _{e}\left(x^{2}-16\right) \leq \log _{e}(4 x-11)$,then

If $\log 2=a, \log 3=b, \log 7=c$ and $6^x=7^{x+4}$,then $x$ is equal to:

If $\log_{4}5 = a$ and $\log_{5}6 = b$,then $\log_{3}2$ is equal to

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