Question 607150
log(x) + log(x+21) = 2


log(x(x+21)) = 2


log(x^2+21x) = 2


x^2+21x = 10^2


x^2+21x = 100


x^2+21x-100 = 0


(x-4)(x+25) = 0


x-4=0 or x+25=0


x=4 or x=-25


Throw out the negative solution since you can't take the log of a negative number.


So the only solution is {{{x=4}}}


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