If loga270 - loga10 + loga \(\frac{1}{3}\) = 2, what is the value of a?

Evaluate (0.13)\(^3\)correct to three significant figures

A fair coin is tossed three times. Find the probability of getting two heads and one tail.

Simplify \(\frac{25 \frac{2}{3} \div 25 \frac{1}{6}}{( \frac{1}{5})^{-\frac{7}{6}} \times ( \frac{1}{5})^{\frac{1}{6}}}\)

Simplify: 11011\(_2\) - 1101\(_2\)

If 30% of y is equal to x, what in terms of x, is 30% of 3y?

P is a point on the same plane with a fixed point A. If P moves such that it is always equidistant from A, the locus of P is

Given that y = 1 - \(\frac{2x}{4x - 3}\), find the value of x for which y is undefined

Simplify \(\frac{x - 4}{4} - \frac{x - 3}{6}\)