document.write( "Question 1083245: What is the least integer greater than log3 38? \n" ); document.write( "
Algebra.Com's Answer #697240 by Edwin McCravy(20065)\"\" \"About 
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What is the least integer greater than log338?
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document.write( "I think this is the way your teacher expects you to find the\r\n" );
document.write( "answer:\r\n" );
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document.write( "log338 means \r\n" );
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document.write( "the exponent to which 3 must be raised to give 38.\r\n" );
document.write( "So to find the least integer greater than that exponent, \r\n" );
document.write( "we begin by trying integer exponents of 3 until we find \r\n" );
document.write( "the smallest integer such that when 3 is raised to that \r\n" );
document.write( "power, the answer is greater that 38.  \r\n" );
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document.write( "We begin by trying exponent 1:\r\n" );
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document.write( "31 = 3  <--smaller than 38, so we try the next integer 2.\r\n" );
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document.write( "32 = 3×3 = 9  <--still smaller than 38, so we try 3\r\n" );
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document.write( "33 = 3×3×3 = 27  <--still smaller than 38, so we try 4\r\n" );
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document.write( "34 = 3×3×3×3 = 81  <--that's it!  for 81 is greater than 38\r\n" );
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document.write( "So the least integer greater than log338 is 4.\r\n" );
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document.write( "Edwin
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