# SOLUTION: When writing the expression as one logarithm, how far do you go with this problem? log cubed squared root of x + log x^4 - log x^3? v/r Dean

Algebra ->  Algebra  -> Logarithm Solvers, Trainers and Word Problems -> SOLUTION: When writing the expression as one logarithm, how far do you go with this problem? log cubed squared root of x + log x^4 - log x^3? v/r Dean      Log On

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 Question 21614: When writing the expression as one logarithm, how far do you go with this problem? log cubed squared root of x + log x^4 - log x^3? v/r DeanAnswer by venugopalramana(3286)   (Show Source): You can put this solution on YOUR website!log cubed squared root of x + log x^4 - log x^3? IT IS ASSUMED THAT BY log cubed squared root of x YOU MEAN LOG((X)^0.5)^3)...ASSUMING THAT AND USING FORMULA LOG (X)^N=N*LOG X, AND ((X)^M)^N)=(X)^M*N ...... WE GET log cubed squared root of x + log x^4 - log x^3 = LOG (X)^1.5+4*LOG X -3*LOG X =(1.5+4-3)*LOG x = 2.5 LOG X=LOG (X)^2.5 ON THE OTHER HAND IF IT IS MEANT AS {LOG (X)^0.5}^3}...THEN IT WILL BE EQUAL TO ={0.5*LOG (X)}^3+4*LOG X -3*LOG X=0.125*{LOG X}^3+LOG X