SOLUTION: 3^x^3=9^x solve for x this is what i have so far i don't know if it is right 3(x^3)=(3^2)(x)

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: 3^x^3=9^x solve for x this is what i have so far i don't know if it is right 3(x^3)=(3^2)(x)      Log On


   

Question 298945: 3^x^3=9^x
solve for x
this is what i have so far i don't know if it is right
3(x^3)=(3^2)(x)
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Given: 3%5EX%5E3+=+9%5EX this can be rewritten as 3%5EX%5E3+=+3%5E2%5EX
The equation can be rewritten, an exponent raised to an exponet is the same as multiplying them.
3%5E%283X%29+=+3%5E%282X%29 To get the X's out of the exponets, you need to take the natural log of both sides.
3X%2Aln3+=+2X%2Aln3 Divide both sides by ln3
3X+=+2X Unfortunetly this can never be true. Make sure that the problem is copied correctly. Otherwise I do not see an answer.