SOLUTION: Solve 3^(3x+4) - 30(3^x) + 1=0

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Question 1202609: Solve 3^(3x+4) - 30(3^x) + 1=0
Answer by mananth(16946) About Me  (Show Source):
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3^(3x+4) −30×3^x +1=0
Rewrite the expression
81×3^3x −30×3x +1=0
substitute t=3^x

81t^ 3 −30t+1=0
Solve
Calculator
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t≈−0.624609
t≈0.033434
t≈0.591174
Resubstitute t
3^x= ≈−0.624609
3^x = ≈0.033434
3^x = ≈0.591174
Find x and conclude
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