Asked by Julie
EXPONENTIAL EQUATION
Find the X
3^x - 82/9 = -3^-x
Find the X
3^x - 82/9 = -3^-x
Answers
Answered by
Steve
3^x + 3^-x = 82/9
3^x + 1/3^x = 82/9
(3^2x + 1)/3^x = 82/9
clearly, x=2, but let's go on.
9(3^2x + 1) = 82*3^x
9*3^2x - 82*3^x + 9 = 0
think of this as 9u^2-82u+9, and you get
(9*3^x - 1)(3^x - 9) = 0
3^x = 9 or 1/9
x = 2 or -2
aha. an unexpected solution!
3^x + 1/3^x = 82/9
(3^2x + 1)/3^x = 82/9
clearly, x=2, but let's go on.
9(3^2x + 1) = 82*3^x
9*3^2x - 82*3^x + 9 = 0
think of this as 9u^2-82u+9, and you get
(9*3^x - 1)(3^x - 9) = 0
3^x = 9 or 1/9
x = 2 or -2
aha. an unexpected solution!
Answered by
Julie
Thank you so much. It really helps me 😂
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.