Logarithmic and Algebraic Expressions Quiz
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Questions and Answers

What is the value of $n^n + n^4 + n^3 + n^2$ when $n = 1983$?

  • 1
  • 0 (correct)
  • 2
  • -1
  • What is the solution set of the inequality $\log_{10}(x^2 - 2x - 2) \leq 0$?

  • [-1, 1 - \sqrt{3}]
  • [-1, 1 - \sqrt{3}) \cup (1 + \sqrt{3}, 3] (correct)
  • [1 + \sqrt{3}, 3]
  • None of these
  • If $x = 3(2 + 1) - 3(2 - 1)$, then what is the value of $x^3 + 3x$?

  • 6 (correct)
  • 6x
  • None of these
  • 2
  • If $a > 0$, then what is the value of $a + a^2 + a^3 + ...$?

    <p>$\frac{1}{2}[1 \pm (4a + 1)]$</p> Signup and view all the answers

    If $(7^{4^3})^{4^3}$ can be expressed as $a + b + c$, then what are the values of $(a, b)$?

    <p>(1, 12)</p> Signup and view all the answers

    If $3x - 3x^{-1} = 6$, then what is the value of $xx^{-1}$?

    <p>9</p> Signup and view all the answers

    What is the relation between 'a' and 'b' if (log log ) 2 1 2 log a b b a e e e          ?

    <p>2a = b</p> Signup and view all the answers

    What is the correct order for a given number α in increasing order?

    <p>log10 α, log3 α, loge α, log2 α</p> Signup and view all the answers

    What is the value of log ab - log |b|?

    <p>-log a</p> Signup and view all the answers

    What is the value of 4) (log2.5 0?

    <p>None of these</p> Signup and view all the answers

    What is the value of log3 4 log4 5 log5 6 log6 7 log7 8 log8 9?

    <p>2</p> Signup and view all the answers

    What is the value of log7 log7 7(7^7)?

    <p>None of these</p> Signup and view all the answers

    What is the value of 81(1 / log5 3) + 27log9 36 + 3^4 / log7 9?

    <p>625</p> Signup and view all the answers

    If log4 5 = a and log5 6 = b, then what is the value of log3 2?

    <p>(2/1)ab - 1</p> Signup and view all the answers

    If logk x. log5 k = log x 5, k ≠ 1, k > 0, then what is the value of x?

    <p>None of these</p> Signup and view all the answers

    If log5 a.logax = 2, then what is the value of x?

    <p>a^2</p> Signup and view all the answers

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