Question

find the value of X:5 x-2 ×3 2x-3=135

Answer 1

5x-12x-3=135
-7x=135+3
-7x=138
x=-138/7
x=19.71

Answer 2

${5}^{x - 2} \times {3}^{2x - 3} = 135 \\ => {5}^{x - 2} \times {2}^{2x - 3} = 5 \times {3}^{3} \\ => x - 2 = 1 \: and \: 2x - 3 = 3 \\ => x = 3$