Question

find the value of x,5^x-2×3^2x-3=135

Answer 1

5^x-2*3^2x-3=135
-2-3=135-5^x/3^2x
-5=135-5/9
-5=15-5
-5=10
x=10+5
x=15

Answer 2

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