Exercise 2.2 (PCTB)

1. Express each of the following in logarithmic form: (i) \( 10^3 = 1000 \) \[\log_{10} 1000 = 3\] (ii) \( 2^8 = 256 \) \[\log_{2} 256 = 8\] (iii) \( 3^{-3} = \frac{1}{27} \) \[\log_{3} \frac{1}{27} = -3\] (iv) \( 20^2 = 400 \) \[\log_{20} 400 = 2\] (v) \( 16^{-\frac{1}{4}} = \frac{1}{2} \)…