SOLUTION: Solve: 3^81x = 81^3x for x. I have so far gotten to 81^x = 4x3^x. Can someone help me get further. I think that x=0, but I need to find the solution in simplified form.

Algebra ->  Rational-functions -> SOLUTION: Solve: 3^81x = 81^3x for x. I have so far gotten to 81^x = 4x3^x. Can someone help me get further. I think that x=0, but I need to find the solution in simplified form.       Log On


   

Question 1085536: Solve: 3^81x = 81^3x for x.
I have so far gotten to 81^x = 4x3^x.
Can someone help me get further. I think that x=0, but I need to find the solution in simplified form.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

3%5E%2881x%29+=+81%5E%283x%29
3%5E%2881x%29+=+%283%5E4%29%5E%283x%29
3%5E%2881x%29+=+3%5E%284%283x%29%29
3%5E%2881x%29+=+3%5E%2812x%29...if base same, exponents are same too
81x=12x-> only if x=0