# SOLUTION: 1.solve for x log4 x^5=-1 2.solve for x in terms of k log9 x + log9(x+9)=k x=? find x if k = 10

Algebra ->  Algebra  -> Exponential-and-logarithmic-functions -> SOLUTION: 1.solve for x log4 x^5=-1 2.solve for x in terms of k log9 x + log9(x+9)=k x=? find x if k = 10       Log On

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 Click here to see ALL problems on Exponential-and-logarithmic-functions Question 271879: 1.solve for x log4 x^5=-1 2.solve for x in terms of k log9 x + log9(x+9)=k x=? find x if k = 10 Answer by dabanfield(803)   (Show Source): You can put this solution on YOUR website!1.solve for x log4 x^5=-1 2.solve for x in terms of k log9 x + log9(x+9)=k x=? find x if k = 10 1.) log (base 4) x^5 = -1 so 5*log (base 4) x = -1 log (base 4) x = -1/5 so by definition of the log then 4^(-1/5) = x 2.) log9 x + log9 (x+9) = k so log9 (9*(x+9)) = k so by definition of a log: 9^k = 9*(x+9) 9^k = 9x + 81 9x = 9^k-81 x = 9^k/9-(81/9) x = 9^(k-1) - 9 When k = 10 then x = 9^(10-1)- 9 x = 9^9 - 9