SOLUTION: Solve and check a) log(base 2) (x-5) + log(base 2)(x-2) = 2 Can you please help me out? Thanks so much in advance Can you please include the steps it would help me understand

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve and check a) log(base 2) (x-5) + log(base 2)(x-2) = 2 Can you please help me out? Thanks so much in advance Can you please include the steps it would help me understand       Log On


   

Question 747412: Solve and check
a) log(base 2) (x-5) + log(base 2)(x-2) = 2
Can you please help me out? Thanks so much in advance
Can you please include the steps it would help me understand more:)
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Originally given equation highlight%28log%282%2C%28x-5%29%29%2Blog%282%2C%28x-2%29%29=2%29
log%282%2C%28%28x-5%29%28x-2%29%29%29=2
2%5E2=%28x-5%29%28x-2%29
4=x%5E2-7x%2B10
x%5E2-7x%2B6=0
Factorable
Still a little more to do but simpler equation highlight%28%28x-1%29%28x-6%29=0%29