9^x+2 =240+9^x what is the value of x
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Answered by
3
9^x9^2 = 240 + 9 ^x
9^x 9^2 - 9 ^x= 240
9x(81 - 1 ) = 240
⇒ 9x (80) = 240
⇒ 3² x = 3.
⇒2x = 1
∴ x = 1/2.
9^x 9^2 - 9 ^x= 240
9x(81 - 1 ) = 240
⇒ 9x (80) = 240
⇒ 3² x = 3.
⇒2x = 1
∴ x = 1/2.
Answered by
3
9^x+2 = 240 +9^x
9^x * 9² = 240 +9^x since a^m+n = a^m * a^n
let 9^x = a---(1)
then
a*81 = 240 + a
81a -a=240
80a=240
a=240/80
a= 3
substitute a=3 in (1)
9^x = 3
3^2x =3^1here 9 = 3^2
therefore
2x =1 here we used [ if a^m = a^n then m=n]
x= 1/2
9^x * 9² = 240 +9^x since a^m+n = a^m * a^n
let 9^x = a---(1)
then
a*81 = 240 + a
81a -a=240
80a=240
a=240/80
a= 3
substitute a=3 in (1)
9^x = 3
3^2x =3^1here 9 = 3^2
therefore
2x =1 here we used [ if a^m = a^n then m=n]
x= 1/2
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