SOLUTION: What is x in log base 5 (x+1) + log base 5(x+21) =3

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Question 886057: What is x in log base 5 (x+1) + log base 5(x+21) =3
Found 2 solutions by lwsshak3, MathTherapy:
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
What is x in log base 5 (x+1) + log base 5(x+21) =3


(x+1)(x+21)=5^3=125
x^2+22x+441=125
x^2+22x+316=0
solve for x by quadratic formula:

a=1, b=22, c=316
no real solution:
b^2-4ac<0

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
What is x in log base 5 (x+1) + log base 5(x+21) =3







(x - 4)(x + 26) = 0
x – 4 = 0 OR x + 26 = 0
OR x = - 26 (ignore)
You can do the check!!
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