A binary operation \( \ast \) is defined on a set of real numbers by \(x \ast y = x^y\) for all real values of \(x\) and \(y\). If \(x \ast 2 = x\). Find th...

If \(9\left(x - \frac{1}{2}\right)^3x^2\)

Solve without using tables \( \log_{5}(62.5) - \log_{5}\left(\frac{1}{2}\right) \)

simplify \( \frac{1}{\sqrt{3}-2} - \frac{1}{\sqrt{3}+2} \)

change 7110 to base 8

Integrate 1−xx3 with respect to x

Evaluate \( \frac{3524}{0.05} \) correct to 3 significant figures

Solve for y in the equation 101 x 5(2x - 2) x 4(y - 1) = 1

If 2log3 y + log3 x2 = 4, then y is