document.write( "Question 195522: Ok so I have the solutions to the problem...but I keep coming up with the wrong answer and I don't understand why. Here's the problem:\r
\n" ); document.write( "\n" ); document.write( " $\"16%5E%28d-4%29=3%5E%283-d%29\"$ \r
\n" ); document.write( "\n" ); document.write( "The instructions are to solve each equation or inequality. Round to four decimal places.\r
\n" ); document.write( "\n" ); document.write( "Here's what I've tried:\r
\n" ); document.write( "\n" ); document.write( " $\"16%5E%28d-4%29=3%5E%283-d%29\"$
\n" ); document.write( " $\"log%2816%5E%28d-4%29%29=log%283%5E%283-d%29%29\"$
\n" ); document.write( " $\"d%28log%2816%29-4log%2816%29%29=d%28log%283%29%2B3log%283%29%29\"$
\n" ); document.write( " $\"d=%28log%283%29%2B3log%283%29%29%2F%28log%2816%29-4log%2816%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( "The book says that the solution is 3.716 \n" ); document.write( "

Algebra.Com's Answer #146640 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "You went wrong on the rule of logarithms that says\r\n" );
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document.write( "You move the entire exponent in front of the log:\r\n" );
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document.write( "Take logs of both sides\r\n" );
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document.write( "Now use the rule that you missed.  Move the\r\n" );
document.write( "(d-4) in parentheses in front of the log on\r\n" );
document.write( "the left, and move the (3-d) in parentheses \r\n" );
document.write( "in front of the log on the right, and \r\n" );
document.write( "get:\r\n" );
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document.write( "Now here is something that might make it\r\n" );
document.write( "easier for you, since it is easier to work\r\n" );
document.write( "with single letters than logs.  So I suggest\r\n" );
document.write( "doing this:\r\n" );
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document.write( "Let the letter A = log(16)\r\n" );
document.write( "Let the letter B = log(3)\r\n" );
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document.write( "Substitute the letter A for log(16) and\r\n" );
document.write( "substitute the letter B for log(3)\r\n" );
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document.write( "Now get your calculator and find\r\n" );
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document.write( "A = log(16) = 1.204119983\r\n" );
document.write( "B = log(3) = .4771212547\r\n" );
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document.write( "Substitute those:\r\n" );
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document.write( "Edwin

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