- All categories
- Pre-Algebra Answers (11,954)
- Algebra 1 Answers (24,237)
- Algebra 2 Answers (10,059)
- Geometry Answers (4,859)
- Trigonometry Answers (2,480)
- Calculus Answers (5,562)
- Statistics Answers (2,831)
- Word Problem Answers (9,091)
- Other Math Topics (5,331)

x^2 / 9^x = 9

x^2 = (9^x)(9^1)

x^2 = 9^(x + 1)

By observation and logic, the only possible answer is x = -1.

first multiply each side by 9^x

you get: 3x^2 = 27 x 9^x

now divide both sides by 3

you will get

x^2= 9 x 3^x

now you have to bring that x down so you have to take log base 3 of 3 to both sides

log 3 (x^2) = log 3 (9) log 3 (3^x)

log 3 (x^2) = 2x

divide 2 on both sides

x = log base 3 (x^2) / 2

hope i did this right iam very tired its nearly 3 am

you get: 3x^2 = 27 x 9^x

now divide both sides by 3

you will get

x^2= 9 x 3^x

now you have to bring that x down so you have to take log base 3 of 3 to both sides

log 3 (x^2) = log 3 (9) log 3 (3^x)

log 3 (x^2) = 2x

divide 2 on both sides

x = log base 3 (x^2) / 2

hope i did this right iam very tired its nearly 3 am

You did it wrong, the answer is -1.

...