Solve for x \(\left| x \right| -10<-3\)

Solve \(-3\left| x \right| +5\le -2\) and graph the solution set in a number line.

Compute \({ log }_{ 9 }^{ 27 }-{ log }_{ 27 }^{ 9 }\)

Prove \(log\frac { { a }^{ 2 } }{ bc } +log\frac { b^{ 2 } }{ ca } +log\frac { c^{ 2 } }{ ab } =0\)

Discuss the nature of roots of 4x² - x - 2 = 0

Discuss the nature of roots of 9x² + 5x = 0.

If a³+ b³= ab(8 - 3a - 3b), show that log \(\left( \frac { a+b }{ 2 } \right) =\frac { 1 }{ 3 } \)  (log a + log b)

Find the value of \(\frac { 2-\sqrt { 3 } }{ \sqrt { 3 } } \) when \(\sqrt { 3 } \)  = 1.732

Solve |3x - 4| = |x-2|

If one of the roots of a quadratic equation is \((1-\sqrt{5})\) find the quadratic equation.

Rationalize the denominator \(\frac{1}{\sqrt{5}+\sqrt{4}}\)

Find the square root of 9-4\(\sqrt{5}\)

If log₁₀2=.3010, log₁₀3=.4771 find log₁₀7²

Resolve with partial fractions \(\frac{1}{(x^2-1)(x+2)}\)

Simplify (343)^2/3