SOLUTION: 3^5x+2/9^1-x=27^4+3x/729

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Question 930561: 3^5x+2/9^1-x=27^4+3x/729
Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
3^5x+2/9^1-x=27^4+3x/729
Could be: highlight_green%28x+=+-+3%29. 

Then again, it might not be. Do you know why or why not?



Here's the solution you requested:

%283%5E%285x+%2B+2%29%29%2F9%5E%281+-+x%29+=+27%5E%284+%2B+3x%29%2F729

%283%5E%285x+%2B+2%29%29%2F%283%5E2%29%5E%281+-+x%29+=+%283%5E3%29%5E%284+%2B+3x%29%2F3%5E6

%283%5E%285x+%2B+2%29%29%2F3%5E%282%281+-+x%29%29+=+3%5E%283%284+%2B+3x%29%29%2F3%5E6

%283%5E%285x+%2B+2%29%29%2F3%5E%282+-+2x%29+=+3%5E%2812+%2B+9x%29%2F3%5E6

3%5E%28%285x+%2B+2%29+-+%282+-+2x%29%29+=+3%5E%2812+%2B+9x+-+6%29

5x+%2B+2+-+2+%2B+2x+=+12+%2B+9x+-+6 ------- Bases are equivalent and so are their exponents

5x+%2B+2x+%2B+2+-+2+=+6+%2B+9x

7x+=+6+%2B+9x

7x+-+9x+=+6

-+2x+=+6

x+=+6%2F%28-+2%29, or highlight_green%28x+=+-+3%29

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