if 9^(x-12)=3^x2 find the value of x?

Answer 1

9^(x-12)=3^(2x)?

if so then

9^(x).9^(-12)=9^x

let p=9^x

p/9¹²=p

p=p(9¹²)

now you know what to do with your calculator am sure

let say the value for p=m/n

9^x=m/n

xlog9=(logm-logn)

z=(logan-logn)/log9

am sure your head is not cemented you should read meaning to these

Answer 2

9^(x-12)=3^(x^2)
3^(2x-24) = 3^(x^2)
2x-24 = x^2
x^2-2x+24 = 0
the discriminant is negative, so there are no real solutions
If you meant
9^(x-12)=3^(2x)
9^(x-12) = 9^x
x-12 = x
again, no solutions.

I suspect a typo...

Answer 3

is my solution step above wrong?

Answer 4

well, this step p=p(9¹²)
just means 1 = (9¹²)
which is false

not sure why you wandered off into the woods after that.