Question

plz answer my question by step by step explanation ​

Answer 1

Subtracting both sides by$9^{x}$

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

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

$9^{x+2}-9^{x}=80\times9^{x}$

$80\times9^{x}=240$

Dividing both sides by $80$

$\frac{80\times9^{x}}{80}=\frac{240}{80}$

$9^{x}=3$

$2x=1$

$x=\frac{1}{2}$

Final Answer:$x=\frac{1}{2}$