If \({ log }_{ \sqrt { x } }\) 0.25 = 4, then the value of x is

The value of log_a b log_b c log_c a is

If 8 and 2 are the roots of x²+ ax + c = 0 and 3, 3 are the roots of x² + dx + b = 0; then the roots of the equation x²+ ax + b = 0 are

If |x + 3| ≥ 10 then ___________

The logarithmic form of 5² = 25 is ___________

Find the radius of the spherical tank whose volume is  \(\frac { 32\pi }{ 3 } \) units

Solve \(\frac { 1 }{ \left| 2x-1 \right| } <6\) and express the solution using the interval notation.

Without sketching the graphs, find whether the graphs of the following functions will intersect the x-axis and if so in how many points. y = x² + 6x + 9

If a and b are both rational numbers, find the values of a and b if \(\frac { 3+\sqrt { 7 } }{ 3-\sqrt { 7 } } =a+b\sqrt { 7 } \)

Solve |x - 9| < 2 for x.

Solve for x  \(\left| 4x-5 \right| \ge -2\)

Solve for x  \(\left| 3-\frac { 3 }{ 4 } x \right| \le \frac { 1 }{ 4 } \)

A factory kept increasing its out-put by the same percentage every year. Find the percentage, if it is known that the output has doubled in the last two years.

Find the value of log₂ \(\left({{\sqrt [ 3 ]{4 } }\over{4^2\sqrt{8}}} \right).\)

Solve |2x- 3| = |x - 5|.

Solve : \({ log }_{ 2 }x-3{ log }_{ \frac { 1 }{ 2 } }x=6\)

Solve  log_5-x (x²-6x+65)=2

Show that \({{1}\over{3-\sqrt{8}}}-{{1}\over{\sqrt{8}-\sqrt{7}}}+{{1}\over{\sqrt{7}-\sqrt{6}}}-{{1}\over{\sqrt{6}-\sqrt{5}}}+{{1}\over{\sqrt{5}-2}}=5\)

Solve \((x+1)^{ \frac { 1 }{ 3 } }=\sqrt { x-3 } \)