Logarithmic and Algebraic Expressions Quiz

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

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

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

<p>9 (B)</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 (A), 2a = b (C)</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 (B)</p> Signup and view all the answers

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

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

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

<p>None of these (C)</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 (A)</p> Signup and view all the answers

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

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

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

<p>625 (B)</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 (A)</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 (A)</p> Signup and view all the answers

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

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

More Like This

Algebra Exponents and Logarithms
5 questions
Logarithmic Functions Practice Flashcards
10 questions
Exponential and Logarithmic Functions Quiz
10 questions
Algebra Class: Logarithms Quiz 4-2
16 questions

Algebra Class: Logarithms Quiz 4-2

ConciliatoryJadeite7032 avatar
ConciliatoryJadeite7032
Use Quizgecko on...
Browser
Browser