Logarithmic Equation: How to solve for x Equation: log_a (x) + log_a (x-4) = log_a (x+6)

Hope Hancock

Hope Hancock

Answered question

2022-09-09

Logarithmic Equation: How to solve for x
Equation:
log a ( x ) + log a ( x 4 ) = log a ( x + 6 )
Progress
log a ( x 2 4 x ) = log a ( x + 6 )
x 2 5 x 6 = 0
Delta
x 1 = 6
x 2 = 1

Answer & Explanation

sodoendev7

sodoendev7

Beginner2022-09-10Added 7 answers

Your first step is correct. Now, if you search only real solutions, you have
x 2 4 x = x + 6
can you solve? (be care to the the acceptability of the solutions).

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