SOLUTION: please help me solve log base 6 X + log base 6 X-3=2 the answer is 7.365 but I need to know how to solve. thank you.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: please help me solve log base 6 X + log base 6 X-3=2 the answer is 7.365 but I need to know how to solve. thank you.      Log On


   

Question 747071: please help me solve
log base 6 X + log base 6 X-3=2
the answer is 7.365 but I need to know how to solve. thank you.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
log base 6 X + log base 6 X-3=2
the answer is 7.365
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log%286%2C%28x%29%29%2Blog%286%2C%28x-3%29%29=2
log%286%2C%28x%29%28x-3%29%29=2
convert to exponential form: base(6) raised to log of number(2)=number((x)(x-3))
6^2=x^2-3x
x^2-3x-36=0
solve for x by quadratic formula:
x≈-4.68 (reject, x>0)
or
x≈7.684