Urgent Help solving log(x - 47) + log(x - 62) = 2 please!

karleewil

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Joined
Jun 30, 2008
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log(x - 47) + log(x - 62) = 2
10^2 = (x - 47)(x - 62)
100 = (x - 47)(x - 62)
100 = x^2 - 109x + 2914
0 = x^2 - 109x + 2814
0 = (x - ? ) (x - ? )

this is where im stuck, Help?
 
karleewil said:
log(x - 47) + log(x - 62) = 2
10^2 = (x - 47)(x - 62)
100 = (x - 47)(x - 62)
100 = x^2 - 109x + 2914
0 = x^2 - 109x + 2814<<< This is a quadratic equation - use quadratic formula
-------------------------------------------------------
If

\(\displaystyle Ax^2\, + \, Bx \, + \, C \, = \, 0\)

Then

\(\displaystyle x \, = \, \frac{-B \, \pm\,\sqrt{B^2\, - \, 4AC}}{2A}\)

-----------------------------------------------------
0 = (x - ? ) (x - ? )

this is where im stuck, Help?
 
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