2. [7 marks] Using laws of exponents and properties of logarithms, solve each of the following equations for r. Leave all results as exact values. Remember to work out any relevant domain restrictions. (a) 163/3 = 43-3 (b) logs flog, (r + 3) - log, (x - 1)] = 01. [5 marks] Let g(x) = In + In(9 - z ) - In 3+1 3 I (a) Step-by-step, show that, for all I C dom,, In + In(9 - x?) - In = 2In(3 - r) by expressing the left side as a single logarithm. 3+ 3 - (b) Determine domg