SOLUTION: solve : log of x^2+x+4 to the base of 5 equals 2

Question 797221: solve : log of x^2+x+4 to the base of 5 equals 2

Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
solve : log of x^2+x+4 to the base of 5 equals 2

convert to exponential form:(base(5) raised to log of number(2)=number(x^2+x+4)
5^2=(x^2+x+4)
(x^2+x+4)=25
x^2+x-21=0
solve for x by quadratic formula:

a=1, b=1, c=-21
ans:
x≈-5.11
or
x≈4.11
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