document.write( "Question 388259: I need help on this question: If Logbase8(3)=p and logbase3(5)=q, express logbase10(5) in terms of p and q. \n" ); document.write( "
Algebra.Com's Answer #274575 by CharlesG2(834)![]() ![]() ![]() You can put this solution on YOUR website! I need help on this question: If Logbase8(3)=p and logbase3(5)=q, express logbase10(5) in terms of p and q.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "log8 (3) = p \n" ); document.write( "log3 (5) = q \n" ); document.write( "log written without base is assumed to be log10 normally, writing as log10 to avoid confusion \n" ); document.write( "log10 (5) = ? \n" ); document.write( "logarithmic rule: logb (x) = logk (x) / logk (b) where b is the old base and \n" ); document.write( "k is the new base \n" ); document.write( "log8 (3) = log10 (3) / log10 (8) = p \n" ); document.write( "log3 (5) = log10 (5) / log10 (3) = q \n" ); document.write( "log10 (3) = plog10 (8) \n" ); document.write( "log10 (8) = log10 (3) / p \n" ); document.write( "log10 (5) = qlog10 (3) \n" ); document.write( "log10 (3) = log10 (5) / q and log10 (3) = plog10 (8) \n" ); document.write( "plog10 (8) = log10 (5) / q \n" ); document.write( "pqlog10 (8) = log10 (5) \n" ); document.write( " \n" ); document.write( " |