Question

if 9^y+2=240+9^y then find the value of y​

Answer 1

Answer:

9^y+2=240+9^y

9^y+2-9^y=240

9^y×9^2-9^y=240

9^y(9^2-1)=240

9^y×80=240

9^y=240/80

9^y=3

3^2y=3

2y=1

y=1/2

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Answer 2

Given: $9^{y+2}$=240+$9^{y}$

⇒$9^{y+2}$ −$9^{y}$ = 240

⇒$9{y(81-1)}$=240

⇒$9^{y}$ =3

⇒3${2y}$ =$3^{1}$

⇒2y=1

⇒y= $\frac{1}{2}$​= 0.5

The value of y​ is 0.5

Ans :- The value of y​ is 0.5