document.write( "Question 1197950: A population of bacteria is growing according to the equation
\n" ); document.write( "P(t)=1950e^0.07t. Estimate when the population will exceed 3010. \n" ); document.write( "
Algebra.Com's Answer #831422 by ikleyn(52803)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "A population of bacteria is growing according to the equation
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document.write( "Write inequality\r\n" );
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document.write( "    3010 < \"1950%2Ae%5E%280.07%2At%29\".\r\n" );
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document.write( "Divide both sides by 1950\r\n" );
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document.write( "    \"3010%2F1950\" < \"e%5E%280.07%2At%29\",\r\n" );
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document.write( "which is the same as\r\n" );
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document.write( "    \"1.543589744\" < \"e%5E%280.07%2At%29\".\r\n" );
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document.write( "Take logarithm base 10 of both sides\r\n" );
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document.write( "    log(1.543589744) < 0.07*t.\r\n" );
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document.write( "Express t and calculate\r\n" );
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document.write( "    t > \"log%28%281.543589744%29%29%2F0.07\" = 2.693312634.\r\n" );
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document.write( "Round with 4 decimals  t = 2.6933.    ANSWER\r\n" );
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document.write( "The problem does not provide the name of the time units,\r\n" );
document.write( "so I can not name the unit of the time in my answer.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "What you see in my post, is a standard procedure for solving such problems.\r
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\n" ); document.write( "\n" ); document.write( "To see many other similar and different solved problems on bacteria growth,  look into the lesson\r
\n" ); document.write( "\n" ); document.write( "    - Bacteria growth problems \r
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic \"Logarithms\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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