16 Questions
What is the value of $n^n + n^4 + n^3 + n^2$ when $n = 1983$?
0
What is the solution set of the inequality $\log_{10}(x^2 - 2x - 2) \leq 0$?
[-1, 1 - \sqrt{3}) \cup (1 + \sqrt{3}, 3]
If $x = 3(2 + 1) - 3(2 - 1)$, then what is the value of $x^3 + 3x$?
6
If $a > 0$, then what is the value of $a + a^2 + a^3 + ...$?
$\frac{1}{2}[1 \pm (4a + 1)]$
If $(7^{4^3})^{4^3}$ can be expressed as $a + b + c$, then what are the values of $(a, b)$?
(1, 12)
If $3x - 3x^{-1} = 6$, then what is the value of $xx^{-1}$?
9
What is the relation between 'a' and 'b' if (log log ) 2 1 2 log a b b a e e e ?
2a = b
What is the correct order for a given number α in increasing order?
log10 α, log3 α, loge α, log2 α
What is the value of log ab - log |b|?
-log a
What is the value of 4) (log2.5 0?
None of these
What is the value of log3 4 log4 5 log5 6 log6 7 log7 8 log8 9?
2
What is the value of log7 log7 7(7^7)?
None of these
What is the value of 81(1 / log5 3) + 27log9 36 + 3^4 / log7 9?
625
If log4 5 = a and log5 6 = b, then what is the value of log3 2?
(2/1)ab - 1
If logk x. log5 k = log x 5, k ≠ 1, k > 0, then what is the value of x?
None of these
If log5 a.logax = 2, then what is the value of x?
a^2
Test your knowledge of logarithmic and algebraic expressions with this quiz. The questions cover topics such as evaluating logarithmic expressions, solving inequalities involving logarithms, and simplifying algebraic expressions.
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