Question 148216
The previous solution is correct, but there's more to this solution. Let's say that you could have a base of 1. So this means that {{{1^x=y}}} can be written as {{{log(1,(y))=x}}} by use of the property  {{{b^y=x}}} ===> {{{log(b,(x))=y}}} 



Now using the change of base formula, we can rewrite {{{log(1,(y))=x}}} as {{{log(10,(y))/log(10,(1))=x}}}. However, {{{log(10,(1))=0}}} which means that {{{log(10,(y))/log(10,(1))=x}}} becomes {{{log(10,(y))/0=x}}}. Since you <font size=4><b>cannot</b></font> divide by zero, this means that a base of 1 is <font size=4><b>not</b></font> possible for a logarithmic function.