SOLUTION: Hi, I'm having trouble solving and figuring what to do for this problem: Solve log base 2 of x + log base 2 of (x+7) = 3 Thank you.

Question 1027293: Hi, I'm having trouble solving and figuring what to do for this problem:
Solve log base 2 of x + log base 2 of (x+7) = 3
Thank you.
Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
.
Hi, I'm having trouble solving and figuring what to do for this problem:
Solve log base 2 of x + log base 2 of (x+7) = 3
Thank you.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

 +  = ,   --->

 = ,   ---> 

x*(x+7) = ,   --->

 = ,   --->

 = ,  

Factor left side:

(x+8)*(x-1) = 0.

The roots are x=-8 and x=1.

-8 doesn't fit because of logarithm.

x=1  fits perfectly.

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