Question

find the value of x,if 5^x-3 * 3^2x-8 = 15​

Answer 1

${5}^{x - 3} \times {3}^{2x - 8} = 15 \\ \\ {5}^{x - 3} \times {3}^{2x - 8} = {5}^{1} \times {3}^{1} \\ \\ \\ = > {5}^{x - 3} = 5 \\ = > x - 3 = 1 \\ = > \: \: \: \: \: \: \: x = 4 \\ \\ \\ = > {3}^{2x - 8} = 3 \\ = > 2x - 8 = 1 \\ = > \: \: \: \: \: \: \: 2x = 9 \\ = > \: \: \: \: \: \: \: \: x = 4.5$