SOLUTION: Hello, I was wondering if you may be able to help me with this problem, I've tried applying what I know, but it doesn't seem to come out right... (1/9)^3x=27 So what I've tried

Question 615239: Hello, I was wondering if you may be able to help me with this problem, I've tried applying what I know, but it doesn't seem to come out right...
(1/9)^3x=27
So what I've tried is...
1. Setting the bases equal
So, basically,
3^2(-3x)=3^3
**I did (-3x) because it's under a 1 in the original problem, I feel that this may be where I am having issues.
2.Solve for X.
2(-3x)=3
-6x=3
x=-2
However when I try to check my work, the problem just doesn't seem to come out right with X being -2. I would greatly appreciate your time and help! Many regards, -Sarah.
Found 3 solutions by Earlsdon, Alan3354, josmiceli:
Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
You've done everything correctly except the final step:
You had:

What it should be is:
Divide both sides by -6.
Simplify.

Check this out as a solution!
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!

-6x = 3
x = -1/2
----------
You had it right, except for the last step

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!

Note That , so

I can take the cube root of both sides

-----------
check:

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