Question

Guys pls solve this out to me pls
It should be done step by step​

Answer 1

question - $9^{x+2} = 240 + 9^{x}$

solution :-

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

hope it helps...｡◕ ‿ ◕｡

Answer 2

$\huge{\underbrace{\overbrace{\mathbb{\pink{SOLUTION}}}}}$

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