document.write( "Question 116560: I am not even sure how to plug this in to my calculator. I do not know what order to take to break this down. Please help me solve for x.\r
\n" ); document.write( "\n" ); document.write( "a. e^in(3-2x) =5x b. In x - In 2 = 1
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Algebra.Com's Answer #84752 by Edwin McCravy(20086)\"\" \"About 
You can put this solution on YOUR website!
I am not even sure how to plug this in to my calculator.
\n" ); document.write( "I do not know what order to take to break this down.
\n" ); document.write( "Please help me solve for x.
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document.write( "a. \"e%5Eln%283-2x%29=5x\" b. \"ln%28x%29+-+ln%282%29+=+1\"\r\n" );
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document.write( "First of all what you thought was \"In\" was really \"ln\" which\r\n" );
document.write( "means \"natural logarithm\" or loge where e = 2.718...\r\n" );
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document.write( "Secondly, you don't plug anything into a calculator.  The \r\n" );
document.write( "calculator is a nice tool for saving time, but it doesn't save \r\n" );
document.write( "you from having to learn the rules of logarithms, and they\r\n" );
document.write( "are all that are required here:\r\n" );
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document.write( "For (a) and (b) you need to learn the rule of logarithms:\r\n" );
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document.write( "\"e%5Eln%28A%29=A\"\r\n" );
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document.write( "For (b) you need to learn the rule of logarithms:\r\n" );
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document.write( "\"ln%28A%29+-+ln%28B%29+=+ln%28A%2FB%29\"\r\n" );
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document.write( "--------------------\r\n" );
document.write( "(a)\r\n" );
document.write( "\"e%5Eln%283-2x%29=5x\"\r\n" );
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document.write( "Using the first rule above on the left side, we have\r\n" );
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document.write( "\"3-2x=5x\"\r\n" );
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document.write( "which you can easily solve and get\r\n" );
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document.write( "\"x=3%2F7\"\r\n" );
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document.write( "(b)\r\n" );
document.write( "\"ln%28x%29+-+ln%282%29+=+1\"\r\n" );
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document.write( "Using the second rule above on the left side, we have\r\n" );
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document.write( "\"ln%28x%2F2%29+=+1\"\r\n" );
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document.write( "Now we raise e to the both sides power:\r\n" );
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document.write( "\"e%5Eln%28x%2F2%29+=+e%5E1\"\r\n" );
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document.write( "Using the first rule on the left side, and\r\n" );
document.write( "erasing the 1 exponent on the right, we have:\r\n" );
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document.write( "\"x%2F2+=+e\"\r\n" );
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document.write( "or\r\n" );
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document.write( "\"x+=+2e\"\r\n" );
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document.write( "Edwin
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