Question

Determine 8x to the power x if 9 to the power x+2=240+9 to the power x

Answer 1

Answer:

9^(x + 2) = 240 + 9^x

9^x.9² = 240 + 9^x

81.9^x = 240 + 9^x

9^x(81 - 1) = 240

9^x .80 = 240

9^x = 3

3^2x = 3¹

[ use, x^m = x^n then, m = n ]

2x = 1

x = 1/2