## Logarithms

Hi

The time t(x) taken for the charge on a capacitorto reach the value is given by the equation: t(x) = 1/k log (x/c) with a base of e (where c, k are positive constants and a is greater than 0).

i) Show that when a and b are two positive numbers such that a + b =1, then t(x^a * y^b) = at(x) + bt(y).

ii) Hence, or otherwise, find t(32), given that t(8) = 4 and t(64) = 12.