SOLUTION: Finding solution set for: {{{ log base 4 (x^2+6)=3 }}}

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Question 845054: Finding solution set for:
+log+base+4+%28x%5E2%2B6%29=3+
Found 2 solutions by josgarithmetic, ewatrrr:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
+log%284%2C+%28x%5E2%2B6%29%29=3

In exponential form, becomes 4%5E3=x%5E2%2B6 , a quadratic equation.
x%5E2%2B6=64
x%5E2=58
highlight%28x=0%2B-+sqrt%2858%29%29 ------- ( the zero put in only for rendering purposes on this site).

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

+log+base+4+%28x%5E2%2B6%29=3+

   x^2 - 6 = 3^4

    x^2 = 87

     x = ± sqrt%2887%29