Question 227953
Remember that {{{log(b,(x))=y}}} can be converted to the form {{{b^y=x}}}



{{{log(2,(log(4,(log(5,(x))))))=-1}}} Start with the given equation.



{{{2^(-1)=log(4,(log(5,(x))))}}} Use the property described above.



{{{1/2=log(4,(log(5,(x))))}}} Rewrite {{{2^(-1)}}} as {{{1/2}}}



{{{log(4,(log(5,(x))))=1/2}}} Rearrange the equation.



{{{4^(1/2)^""=log(5,(x))}}} Use the property described above.



{{{sqrt(4)=log(5,(x))}}} Convert to radical notation.



{{{2=log(5,(x))}}} Take the square root of 4 to get 2.


 
{{{log(5,(x))=2}}} Rearrange the equation.



{{{5^2=x}}} Use the property described above.



{{{25=x}}} Square 5 to get 25



So the answer is {{{x=25}}}