if 9 power x+2 =240 +9 power x then find the value of x
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Answered by
4
Answer:
Given 9x+2 = 240 + 9x
⇒ 9x x 92= 240 + 9x
let 9x = a
⇒ 81a = 240 + a
⇒ 80a = 240
⇒ a = 3 but 9x = a
⇒ 9x = 3
⇒ 32x = 3
Bases are equal powers should be equated.
⇒ 2x = 1
.:. x = 1/2.
I Hope It Will Help!
^_^
Given 9x+2 = 240 + 9x
⇒ 9x x 92= 240 + 9x
let 9x = a
⇒ 81a = 240 + a
⇒ 80a = 240
⇒ a = 3 but 9x = a
⇒ 9x = 3
⇒ 32x = 3
Bases are equal powers should be equated.
⇒ 2x = 1
.:. x = 1/2.
I Hope It Will Help!
^_^
renukasingh05011979:
Will you please mark me down as a brainliest???
^_^
Answered by
1
Answer:
0.5
Step-by-step explanation:
9^(x + 2) = 240 + 9^x
9^x.9² = 240 + 9^x
81.9^x = 240 + 9^x
81.9^x-9^x=240
9^x(81 - 1) = 240
9^x .80 = 240
9^x = 3
3^2x = 3¹
[ use, x^m = x^n then, m = n ]
2x = 1
x = 1/2
=0.5
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