Question

I wanna get solution and answer

Answer 1

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

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

$9^x * 9^2 - 9^x = 240$

$= 9^x(9^2 - 1) = 240$

$= 9^x(81 - 1) = 240$

$9^x * 80 = 240$

$9^x = \frac{240}{80}$

9^x = 3

$(3^2)^x = 3^1$

$3^{2x} = 3^1$

2x = 1

x = 1/2.


Now,

$Given : ( 8x)^{x}$

$= (8 * \frac{1}{2})^ \frac{1}{2}$

$= (4)^ \frac{1}{2}$

$= (2^2)^ \frac{1}{2}$

$2^{2 * \frac{1}{2} }$

2^1

2.



Hope this helps!

Answer 2

HEya..!!!


GIVEN that:-

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

⇒9^x × 9² = 240 + 9^x

⇒9^x × 81 - 9^x = 240

⇒9^x(81 - 1) = 240

⇒9^x = 240/80

⇒9^x = 3

⇒3^2x = 3¹

⇒2x = 1

⇒x = 1/2



Now,

(8 × x)^x

⇒(8 × 1/2)½

⇒ (4)½

⇒(2²)½

⇒ (2)^2 × 1/2

⇒ 2


I HOPE ITS HELP YOU,