document.write( "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?
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document.write( "v/r Dean \n" );
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Algebra.Com's Answer #11577 by venugopalramana(3286) You can put this solution on YOUR website! log cubed squared root of x + log x^4 - log x^3? \n" ); document.write( " IT IS ASSUMED THAT BY log cubed squared root of x YOU MEAN \n" ); document.write( "LOG((X)^0.5)^3)...ASSUMING THAT AND USING FORMULA LOG (X)^N=N*LOG X, \n" ); document.write( "AND ((X)^M)^N)=(X)^M*N ...... \n" ); document.write( "WE GET \n" ); document.write( " log cubed squared root of x + log x^4 - log x^3 = LOG (X)^1.5+4*LOG X -3*LOG X \n" ); document.write( "=(1.5+4-3)*LOG x = 2.5 LOG X=LOG (X)^2.5 \n" ); document.write( "ON THE OTHER HAND IF IT IS MEANT AS {LOG (X)^0.5}^3}...THEN IT WILL BE EQUAL TO \n" ); document.write( "={0.5*LOG (X)}^3+4*LOG X -3*LOG X=0.125*{LOG X}^3+LOG X \n" ); document.write( " \n" ); document.write( " |