document.write( "Question 74179: Please explain why the number 1 cannot be the base of a logarithmic function. Thank you. \n" ); document.write( "
Algebra.Com's Answer #53321 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Because if you use the change of base formula
\n" ); document.write( "\"log_%5Bb%5D%28a%29=log%28a%29%2Flog%28b%29\"If you let b=1, you get
\n" ); document.write( "\"log_%5B1%5D%28a%29=log%28a%29%2Flog%281%29\"
\n" ); document.write( "Log(1)=0 since x^0=1 so it becomes
\n" ); document.write( "\"log_%5B1%5D%28a%29=log%28a%29%2F0\"Which is not possible for any value of a.
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