Question

Kindly help

Find x
Very tough question

Answer 1

Hi !

It's a very easy question !!!

Given $9^{ x+2}$ = 240 + $9^{x}$

⇒ $9^{x}$ * $9^{2}$ = 240 +  $9^{x}$

let  $9^{x}$  = a

⇒ 81a = 240 + a

⇒ 80a = 240

⇒ a = 3

but  $9^{x}$  = a

⇒   $9^{x}$  = 3

⇒  $3^{2x}$  = 3

bases are equal powers should be equated.

⇒ 2x = 1

⇒ x = 1/2

Hope this helps!!!