(a) Simplify : \(\frac{1}{2}\log_{10} 25 - 2\log_{10} 3 + \log_{10} 18\) (b) If \(123_{y} = 83_{10}\), obtain an equation in y, hence find the value of y. (...

(a) Simplify : \(\frac{1}{2}\log_{10} 25 - 2\log_{10} 3 + \log_{10} 18\)

(b) If \(123_{y} = 83_{10}\), obtain an equation in y, hence find the value of y.

(c) Solve the equation \(\frac{9^{2x - 3}}{3^{x + 3}} = 1\)

Answer Details

None