# SOLUTION: solve log(3x+4)=2log(x)

Algebra ->  Algebra  -> Exponential-and-logarithmic-functions -> SOLUTION: solve log(3x+4)=2log(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: Exponent and logarithm as functions of power Solvers Lessons Answers archive Quiz In Depth

 Question 507520: solve log(3x+4)=2log(x) Found 2 solutions by nerdybill, Earlsdon:Answer by nerdybill(6948)   (Show Source): You can put this solution on YOUR website!log(3x+4)=2log(x) log(3x+4)=log(x^2) 3x+4 = x^2 0 = x^2 - 3x - 4 0 = (x-4)(x+1) x = {4, -1} we can throw out the -1 solution (extraneous) leaving: x = 4 Answer by Earlsdon(6287)   (Show Source): You can put this solution on YOUR website!Solve: Apply the "power rule" to the right side. Now if then so... Rearrange as: Solve by factoring: Apply the "zero product" rule: or so that... or Now you must check the results for "extraneous" or "invalid" values: Try Substitute This is not valid! Try Substitute This is valid. Solution is