document.write( "Question 67685This question is from textbook Advanced mathematics
\n" ); document.write( ": Let M=B^a and N=B^c. Show why log(base b)MN = log(base b)M + log(base b)N. \n" ); document.write( "

Algebra.Com's Answer #49112 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let M=B^a and N=B^c. Show why log(base b)MN = log(base b)M + log(base b)N.
\n" ); document.write( "-------------
\n" ); document.write( "Log(base b) MN = log(base b)(b^a*b^c)
\n" ); document.write( "log(base b)b^(a+c) a+c
\n" ); document.write( "But a =log(base b)M
\n" ); document.write( "and c = log(base b)N
\n" ); document.write( "So, log(base b)MN= log(base b)M + log(base b)N
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

\n" );