SOLUTION: is 6.5 a solution of log base 3 of (x + 3) + log base 3 of (x-2) = log base 3 of 14 and please show your work?

Question 454532: is 6.5 a solution of log base 3 of (x + 3) + log base 3 of (x-2) = log base 3 of 14 and please show your work?
Answer by Gogonati(855) (Show Source): You can put this solution on YOUR website!
, using log properties we get:
=>, we solve now the
quadratic equation:, by factoring and get:
x=-5 and x=4. We reject the root x=-5, because the log of negative numbers are
undefined.
Answer: The solution is x=4.
RELATED QUESTIONS
log base 2 (log base 3 (log base 5 of x)) = 0 (answered by stanbon,MathTherapy)

if log [base x] (3) - log [base 2] (a) = log [base 3] (a), express log [base x] in terms... (answered by jsmallt9)

log (base 3) of x minus log (base 3) of (x-5) = log (base 3) of... (answered by Fombitz,MathTherapy)

log base 3 of X = 1/2 log base 3 of 25 - 5 log base 3 of... (answered by josgarithmetic)

how do you solve log base 4 (log base 3 (log base 2 of X)) = 0?? (answered by stanbon,MathTherapy)

1) Given that base 3 log of x =p find in terms of p in the simplest form : base 3 log of (answered by jsmallt9)

Log base 3 of x=log base 9 of 81 (answered by ewatrrr)

2log base 3 of y +1/3 log base 3 of x - (log base 3 of 5 + 2 log base 3 of 3)... (answered by jsmallt9)

find x if log 6 base 3 + log x base 3 - log 5 base... (answered by lwsshak3)