SOLUTION: condense the expression log 3+ 1/2 log x-log 5

Algebra ->  Algebra  -> Logarithm Solvers, Trainers and Word Problems -> SOLUTION: condense the expression log 3+ 1/2 log x-log 5      Log On

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

 Algebra: Logarithm Solvers Lessons Answers archive Quiz In Depth

 Question 169502: condense the expression log 3+ 1/2 log x-log 5Found 2 solutions by chiefman, Ploy:Answer by chiefman(11)   (Show Source): You can put this solution on YOUR website!log3+1/2logx-log5 this becomes log3+logx^1/2-log5 since( alogb=logb^a) log{(3*x^1/2)/5}since[loga+logb=logab],and [loga-logb=log(a/b)] hence the answer is log{(3*x^1/2)/5} Answer by Ploy(1)   (Show Source): You can put this solution on YOUR website!log3+logx^1/2-log5 = 0 log(3/5)(x^1/2) = 0 log(3*x^1/2)/5 = 0 (3*x^1/2)/5 = 10^0 (3*x^1/2)/5 = 1 3*x^1/2 = 5 x^1/2 = 5/3 x = 25/9 x = 2.78