# SOLUTION: {{{6^(2x)-42*(6^x)+216=0}}}

Algebra ->  Algebra  -> Logarithm Solvers, Trainers and Word Problems -> SOLUTION: {{{6^(2x)-42*(6^x)+216=0}}}      Log On

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 Algebra: Logarithm Solvers Lessons Answers archive Quiz In Depth

 Question 249764: Found 2 solutions by Alan3354, solver91311:Answer by Alan3354(30993)   (Show Source): You can put this solution on YOUR website! This is a quadratic in 6^x Sub z for 6^x --> (z - 6)*(z - 36) = 0 z = 6 z = 36 ----- Sub back: 6^x = 6 x = 1 ------ 6^x = 36 x = 2 Answer by solver91311(16878)   (Show Source): You can put this solution on YOUR website! Note that Which means that the equation takes on the form of a quadratic with the function assuming the role of the independent variable. Let represent , then: Note that and so: Replacing Hence: Recalling: And We can write Similarly: And noting that and finally: John