Question 182378
{{{(1/2)*log(5,(1))-2*log(5,(5))}}} Start with the given expression.



{{{(1/2)(0)-log(5,(5^2))}}} Evaluate {{{log(5,(1))}}} to get 0 



{{{0-log(5,(5^2))}}} Multiply 



{{{-log(5,(5^2))}}} Simplify



{{{-2*log(5,(5))}}} Use the identity {{{log(b,(x^y))=y*log(b,(x))}}} to rewrite the expression.



{{{-2*1}}} Evaluate {{{log(5,(5))}}} to get 1



{{{-2}}} Multiply



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Answer:



So {{{(1/2)*log(5,(1))-2*log(5,(5))=-2}}}