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.

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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)   (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
***


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

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