Question

Determine (8x)^x if 9^(X+2)=240+9^x​

Answer 1

Answer:

ur answer................

Answer 2

Hey mate !! Here you go :-

We have,

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

Split $9^{x+2}$ we get,

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

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

Taking $9^{x}$ common

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

$9^{x} . 80=240$

$9^{x} =240/80$

$9^{x} =3$

$3^{2x} =3$

∵ Bases are same powers are equal

$2x=1$

$x=1/2$

Now, putting the value of x

We get,

$(8*1/2)^{1/2}$

$4^{1/2}$

$2$ = answer

Hope this is helpful to you

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Bye !!