Solve for x:

2(27)^x=9^(x+1)

1 answer

27 = 3^3
9 = 3^2

2(3^3)^x = (3^2)^(x+1)
2*3^3x = 3^(2x+2)
2 = 3^(2x+2-3x) = 3^(2-x)
log₃2 = 2-x
x = 2-log₃2

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