document.write( "Question 944210: Which of the following expressions is equivalent to 0.5(log(2)(x+1)-log(2)(x^2+2x+1)), where x can not equal -1? 2 = base of the logarithm\r
\n" ); document.write( "\n" ); document.write( "a. log(2)sqrt(1/x+1)\r
\n" ); document.write( "\n" ); document.write( "b. log(2)sqrt(x+1)\r
\n" ); document.write( "\n" ); document.write( "c. log(2)((x^2+2x+1)(x+1))\r
\n" ); document.write( "\n" ); document.write( "d. -3log(2)x\r
\n" ); document.write( "\n" ); document.write( "How do I go about solving a question like this, trying to find examples but I am struggling to find any, if someone could give me a step by step breakdown that would be greatly appreciated.\r
\n" ); document.write( "\n" ); document.write( "Thank you
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #575683 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
0.5(log(2)(x+1)-log(2)(x^2+2x+1))
\n" ); document.write( "= \"0.5%2A%28log%282%2C%28x%2B1%29%29+-+log%282%2C%28x%5E2%2B2x%2B1%29%29%29\"
\n" ); document.write( "---
\n" ); document.write( "= \"0.5%2A%28log%282%2C%28x%2B1%29%29+-+log%282%2C%28x%2B1%29%5E2%29%29\"
\n" ); document.write( "Subtracting logs --> division
\n" ); document.write( "= \"0.5%2A%28log%282%2C%28x%2B1%29%2F%28%28x%2B1%29%5E2%29%29%29\"
\n" ); document.write( "-------------
\n" ); document.write( "= \"0.5%2Alog%282%2C%281%2F%28x%2B1%29%29%29\"
\n" ); document.write( "= \"log%282%2C%281%2Fsqrt%28x%2B1%29%29%29\"
\n" ); document.write( "==============
\n" ); document.write( "Same as choice a.
\n" ); document.write( "
\n" );