# SOLUTION: Solve the following logarithmic equation. Check all solutions. (Enter solutions from smallest to largest). 1/2log(4x+5)=log(x)

Algebra ->  Algebra  -> Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve the following logarithmic equation. Check all solutions. (Enter solutions from smallest to largest). 1/2log(4x+5)=log(x)      Log On

 Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Algebra: Logarithm Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on logarithm Question 371939: Solve the following logarithmic equation. Check all solutions. (Enter solutions from smallest to largest). 1/2log(4x+5)=log(x)Answer by CharlesG2(828)   (Show Source): You can put this solution on YOUR website!Solve the following logarithmic equation. Check all solutions. (Enter solutions from smallest to largest). 1/2log(4x+5)=log(x) (1/2)log(4x + 5) = log(x) base b when not specified is assumed to be 10 log(4x + 5) = 2log(x) (multiplied both sides by 2) logarithmic rule: nlogb(m) = logb(m^n) log(4x + 5) = log(x^2) 4x + 5 = x^2 (what is in parenthesis must equal) -x^2 + 4x + 5 = 0 x^2 - 4x - 5 = 0 (divided both sides by -1) (x - 5)(x + 1) = 0 by FOIL this is x^2 + x - 5x - 5 or x^2 - 4x - 5 x = -1 or x = 5 x can not be -1, 10 to the somthing can not equal - 1 the solution is x = 5 check: (1/2)log(4(5) + 5) = log(5) log(20 + 5) = 2log(5) log(25) = log(5^2) log(25) = log(25), yes