document.write( "Question 1006800: 9e^x=28
\n" ); document.write( "what is the solution set in terms of natural logarithms?\r
\n" ); document.write( "\n" ); document.write( "what is the decimal approximation of the solution? round two decimal places as needed
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Algebra.Com's Answer #622859 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
We will use these log rules\r
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\n" ); document.write( "\n" ); document.write( "Rule 1) \"Ln%28x%5Ey%29=y%2ALn%28x%29\"\r
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\n" ); document.write( "\n" ); document.write( "Rule 2) \"Ln%28e%29=1\"\r
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\n" ); document.write( "\n" ); document.write( "\"9e%5Ex=28\"\r
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\n" ); document.write( "\n" ); document.write( "\"%289e%5Ex%29%2F9=28%2F9\" Divide both sides by 9\r
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\n" ); document.write( "\n" ); document.write( "\"e%5Ex=28%2F9\"\r
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\n" ); document.write( "\n" ); document.write( "\"Ln%28e%5Ex%29=Ln%2828%2F9%29\" Apply natural logs to both sides\r
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\n" ); document.write( "\n" ); document.write( "\"x%2ALn%28e%29=Ln%2828%2F9%29\" Use rule 1 (see above)\r
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\n" ); document.write( "\n" ); document.write( "\"x%2A1=Ln%2828%2F9%29\" Use rule 2 (see above). \r
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\n" ); document.write( "\n" ); document.write( "\"x=Ln%2828%2F9%29\" This is the exact answer in terms of natural logs.\r
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\n" ); document.write( "\n" ); document.write( "\"x=1.13497993283899\" Use a calculator to compute Ln(28/9)\r
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\n" ); document.write( "\n" ); document.write( "\"x=1.13\" Round to two decimal places
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