document.write( "Question 1140: I need to find the value of v in the following log.
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document.write( " v=log(base 2)(1/4)
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document.write( "If I do as the law says, I come up with -2. But the book is showing 22. Am I doing this wrong or is the books answer wrong. \n" );
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Algebra.Com's Answer #343 by khwang(438) ![]() You can put this solution on YOUR website! If v=log(base 2)(1/4), by definition of log, \n" ); document.write( " 2^v = 4. \n" ); document.write( " Now if v= -2, 2^(-2) = 1/2^2 = 1/4 \n" ); document.write( " So your answer is correct.\r \n" ); document.write( "\n" ); document.write( " One way to solve: \n" ); document.write( " v = log(base 2)(1/4) = -log(base 2)4 = -log(base 2) 2^2 \n" ); document.write( " = - 2 log(base 2) 2 = -2 * 1 = -2.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |