SOLUTION: Solve for X {{{ 2log( 10, x) = 1 + log( 10, (x+ (11 / 10 )) ) }}}

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Question 477458: Solve for X
+2log%28+10%2C+x%29+=+1+%2B+log%28+10%2C+%28x%2B+%2811+%2F+10+%29%29+%29+
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Solve for X 

+2log%28+10%2C+x%29+=+1+%2B+log%28+10%2C+%28x%2B+%2811+%2F+10+%29%29+%29+

+2log%28+10%2C+x%29+-+log%28+10%2C+%28x%2B+%2811+%2F+10+%29%29+=+1%29+

+log%28+10%2C+x%5E2%29+-+log%28+10%2C+%28x%2B+%2811+%2F+10+%29%29+=+1%29+

+log%28+10%2C+x%5E2%2F%28x%2B+%2811+%2F+10+%29%29%29++=+1%29+

+x%5E2%2F%28x%2B+%2811+%2F+10+%29%29++=+10%29+

+x%5E2+=+10x+%2B+11%29+

   x^2 - 10x - 11 = 0

factoring

 (x + 1)(x-11)= 0

 (x + 1)= 0  x = -1

  (x-11)= 0  x = 11