Question

If log x = a, log y = b, express x³y² in terms of a and b.

Answer 1

Given: log x = a and log y = b

Step-wise calculation:

1. From log x = a, x = 10^a.

2. From log y = b, y = 10^b.

3. x³y² = (10^a)³(10^b)²

x³y² = 10^3a × 10^2b

`x^3 y^2 = 10^(3a + 2b)`