SOLUTION: solve for x 3x=(9)x-1 * (27)1-3x (in this equation, x, x-1, and 1-3x are the powers of 3, 9, and 27

Question 539092: solve for x
3x=(9)x-1 * (27)1-3x (in this equation, x, x-1, and 1-3x are the powers of 3, 9, and 27
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
solve for x
3x=(9)x-1 * (27)1-3x (in this equation, x, x-1, and 1-3x are the powers of 3, 9, and 27
**
3^x=9^(x-1)*27^(1-3x)
change to base 3
3^x=3^2(x-1)*3^3(1-3x)
3^x=3^(2x-2)*3^(3-9x)=3^(-7x+1)
3^x=3^(-7x+1)
exponents of same base equal to each other
x=-7x+1
8x=1
x=1/8
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