Unanswered Quadratic Equations Logarithm Questions

The set of values of x which satisfy 5x + 2 < 3x + 8 and frac{{x + 2}}{{x - 1}} < 4 , is ...

If {log _{12}}27 = a, then {log _6}16 = ...

If x = sqrt {7 + 4sqrt 3 } , then x + frac{1}{x} = ...

If {9^x} - 4 imes {3^{x + 2}} + {3^5} = 0, then the solution pair is ...

If {a^x} = bc,{b^y} = ca,,{c^z} = ab, then xyz = ...

The roots of the equation {7^{{{log }_7}}}^{({x^2} - 4x + 5)} = x - 1 are ...

left[ {frac{1}{4}} ight] + left[ {frac{1}{4} + frac{1}{{200}}} ight] + left[ {frac{1}{4} + frac{1}{{100}}} ight] + .....left[ {frac{1}{4} + frac{{199}}{{200}}} ight] is ...

\hspace{-16}$Solution for real $\bf{\left(a\;,b\;,c\right)}$ in \\\\ $\bf{[a]+c\{c\}-b\{b\}=0.16}$\\\\ $\bf{b+a\{a\}-c\{c\} = 0.25}$\\\\ $\bf{c[c]+b\{b\}-a\{a\} = 0.49}$\\\\ Where $\bf{[x] =}$ Integer part of $\bf{x}$\\\\ and ...

\hspace{-16}$Find all real polynomials $\bf{p(x)}$ such that $\bf{p(x)\cdot p(x+1)=p(x^2)\;\forall x\in \mathbb{Z}}$ ...

The solution set of frac{{{x^2} - 3x + 4}}{{x + 1}} > 1,,x in R , is a) (3,,, + infty ) b) ( - 1,,,1) cup (3,,, + infty ) c) [ - 1,,,1] cup [3,,, + infty ) d) None of these ...

The solution of the equation 2{x^2} + 3x - 9 le 0 is given by a) frac{3}{2} le x le 3 b) - 3 le x le frac{3}{2} c) - 3 le x le 3 d) frac{3}{2} le x le 2 ...

If {log _{10}}2 = 0.30103,{log _{10}}3 = 0.47712, the number of digits in {3^{12}} imes {2^8} is a) 7 b) 8 c) 9 d) 10 ...

The value of sqrt {(log _{0.5}^24)} is a) –2 b) sqrt {( - 4)} c) 2 d) None of these ...

The solution of the equation {log _7}{log _5}(sqrt {{x^2} + 5 + x} ) = 0 a) x = 2 b) x = 3 c) x = 4 d) x = - 2 ...

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