document.write( "Question 629415: Write as the logarithm of a single quantity:1/5[3log(x+1)+2log(x-1)-log7] \n" ); document.write( "
Algebra.Com's Answer #396261 by jsmallt9(3758)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "There are two ways to condense/combine logarithms:
\n" ); document.write( "Two of your logarithms do not have coefficients of 1 so, at the moment, we cannot use the properties to combine the terms. Fortunately there is another property of logarithms, \n" ); document.write( "Using this 3rd property on the first two logs we get: \n" ); document.write( " \n" ); document.write( "We can now start using the first two properties to combine the logs. The first two logs have a \"+\" between them so we will use the first property (since it also has a \"+\" between the logs): \n" ); document.write( " \n" ); document.write( "Now we will use the second property because of the \"-\" between the remaining logs: \n" ); document.write( " \n" ); document.write( "This may the the desired \"single quantity\". Or perhaps we should use the 3rd property to move the 1/5 into the argument, too: \n" ); document.write( " \n" ); document.write( "This may be the desired answer. Or since 1/5 as an exponent means 5th root: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |