SOLUTION: Solve for x (nearest 10th) 3^ x square root 2 + 4. 3^ x square root 8 -3 =0

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 Click here to see ALL problems on logarithm Question 271636: Solve for x (nearest 10th) 3^ x square root 2 + 4. 3^ x square root 8 -3 =0Answer by Edwin McCravy(8911)   (Show Source): You can put this solution on YOUR website!``` Let some letter other than , say , equal to . Then we have . Substituting, Factoring: Use the zero factor principle. Set the first factor = 0 Setting second factor = 0 Using first solution for in , Take logs of both sides Use rules of logarithms: Divide both sides by Get a calculator and punch out the left side: That's one solution. We must also consider the solution for t to see if that also yields a solution for x: Using this solution for in . . No power of 3 can ever be negative, so we discard the solution for , as extraneous. The only solution is , rounded to tenths is t=-.2 Edwin```