document.write( "Question 59600: Write the expression logb(x-1)+3logb(x-2)-2logb(x+3) as a single logarithm. Assume that the variables represent positive numbers. \n" ); document.write( "

Algebra.Com's Answer #40876 by funmath(2933) $\"\"$ $\"About$

You can put this solution on YOUR website!
Write the expression logb(x-1)+3logb(x-2)-2logb(x+3) as a single logarithm. Assume that the variables represent positive numbers.
\n" ); document.write( "Rules we'll use:
\n" ); document.write( "1. $\"highlight%28alogb%28x%29=logb%28x%5Ea%29%29\"$
\n" ); document.write( "2. $\"highlight%28logb%28a%2Ac%29=logb%28a%29%2Blogb%28c%29%29\"$
\n" ); document.write( "3. $\"highlight%28logb%28a%2Fc%29=logb%28a%29-logb%28c%29%29\"$
\n" ); document.write( ":
\n" ); document.write( " $\"logb%28x-1%29%2B3logb%28x-2%29-2logb%28x%2B3%29\"$
\n" ); document.write( " $\"logb%28x-1%29%2Blogb%28%28x-2%29%5E3%29-logb%28%28x%2B3%29%5E2%29\"$ rule 1
\n" ); document.write( " $\"logb%28%28x-1%29%28x-2%29%5E3%29-logb%28%28x%2B3%29%5E2%29\"$ rule 2
\n" ); document.write( " $\"logb%28%28x-1%29%28x-2%29%5E3%2F%28%28x%2B3%29%5E2%29%29\"$
\n" ); document.write( ":
\n" ); document.write( "Happy Calculating!!! \n" ); document.write( "

\n" );