9^x+2 = 240 + 9^x , what is x?

Open in App

Solution

Given 9^x+2 = 240 + 9^x
⇒ 9^xx 9²= 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.

Suggest Corrections

126

Similar questions

If $9^{x + 2} = 240 + 9^{x}$ , then x =

$D e t e r m i n e (8 x)^{x}, i f 9^{x + 2} = 240 + 9^{x} .$

\frac{7}{9} x - \frac{4}{9} x = \frac{1}{4} + \frac{5}{12}

x

9^{x + 2} = 720 + 9^{x}

(4 x)^{1 / x}

Join BYJU'S Learning Program