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How many real solutions does this equation have... log6=log(4x - x^2)

 

A. 0

B. 1

C. 2

D. 3

E. none of these

 Jun 7, 2016
 #1
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log6=log(4x - x^2)   we need to solve this :

 

6 = 4x - x^2      rearrange as

 

x^2 - 4x - 6  = 0  .... this will not factor......the [potential] solutions are :

 

x =  2 + √10  ≈ 5.1623  ... or  x = 2 - √10 ≈ -1.1623

 

However......both [potential] solutions produce a negative log on the right......so.....there are no real solutions to this

 

cool cool cool

 Jun 7, 2016

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