Given log₁₀x = a, log₁₀y = b and log₁₀z = c,

(i) write down 10^{2a - 3} in terms of x.

(ii) write down 10^{3b - 1} in terms of y.

(iii) if log₁₀P = 2a + $\dfrac{b}{2}$ - 3c, express P in terms of x, y and z.

If log₁₀ x = a and log₁₀ y = b, find the value of xy.

Given log₁₀x = 2a and log₁₀y = $\dfrac{b}{2}$,

(i) write 10^a in terms of x.

(ii) write 10^{2b + 1} in terms of y.

(iii) if log₁₀P = 3a - 3b, express P in terms of x and y.

If log₂y = x and log₃z = x, find 72^x in terms of y and z.