document.write( "Question 278784: I am trying to figure out a problem. I have some of it.
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document.write( "I just don't know how to do the last part of it.\r
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document.write( "The end of it is
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document.write( "(62.35)+(-0.46)ln x =61\r
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document.write( "How do I solve this equation? The actual answer is 18.8. But, I cannot even get close to that. In class we use the TI-84. Thanks\r
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document.write( "If you need the entire problem let me know. Thanks so much. \n" );
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Algebra.Com's Answer #202794 by Theo(13342)![]() ![]() You can put this solution on YOUR website! working from your equation of:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(62.35)+(-0.46)ln x =61\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract 62.35 from both sides of this equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-.46*ln(x) = 61 - 62.35\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-.46*ln(x) = -1.35\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides of this equation by -.46 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "ln(x) = -1.35 / -.46 = 2.934782609\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "use your calculator to find the number whose natural log is 2.934782609 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 18.81741195\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "here's a link to instructions for the TI-84\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "http://education.ti.com/guidebooks/graphing/84p/TI84PlusGuidebook_Part2_EN.pdf\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In my calculator (TI-30), in order to get the natural log of a number, I enter the number and then press the LN key.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If I want to get the number whose natural log is a number, I enter the number and then press the 2D key and then press the LN key.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "That's shown as the e^x key in gold letters on top of the LN key.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Looks like you have your LN key to the left of the 4, and looks like you have e^x key being in the 2d function on that same key.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Do the following:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Enter 10 and then hit the LN key.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you should see 2.302585093\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "hit the 2d LN key.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you should see your 10 come back.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "ln(x) and e(x) are inverse functions.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = ln(x) if and only if x = e^y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your x was 10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your y was 2.302585093\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "basic definition becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2.302585093 = ln(10) if and only if e^(2.302585093) = 10 which it does.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |