ln(x+5)+ln(x+5)=2ln(x+4)

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Solution for ln(x+5)+ln(x+5)=2ln(x+4) equation:


Simplifying
ln(x + 5) + ln(x + 5) = 2ln(x + 4)

Reorder the terms:
ln(5 + x) + ln(x + 5) = 2ln(x + 4)
(5 * ln + x * ln) + ln(x + 5) = 2ln(x + 4)
(5ln + lnx) + ln(x + 5) = 2ln(x + 4)

Reorder the terms:
5ln + lnx + ln(5 + x) = 2ln(x + 4)
5ln + lnx + (5 * ln + x * ln) = 2ln(x + 4)
5ln + lnx + (5ln + lnx) = 2ln(x + 4)

Reorder the terms:
5ln + 5ln + lnx + lnx = 2ln(x + 4)

Combine like terms: 5ln + 5ln = 10ln
10ln + lnx + lnx = 2ln(x + 4)

Combine like terms: lnx + lnx = 2lnx
10ln + 2lnx = 2ln(x + 4)

Reorder the terms:
10ln + 2lnx = 2ln(4 + x)
10ln + 2lnx = (4 * 2ln + x * 2ln)
10ln + 2lnx = (8ln + 2lnx)

Add '-2lnx' to each side of the equation.
10ln + 2lnx + -2lnx = 8ln + 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
10ln + 0 = 8ln + 2lnx + -2lnx
10ln = 8ln + 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
10ln = 8ln + 0
10ln = 8ln

Solving
10ln = 8ln

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add '-8ln' to each side of the equation.
10ln + -8ln = 8ln + -8ln

Combine like terms: 10ln + -8ln = 2ln
2ln = 8ln + -8ln

Combine like terms: 8ln + -8ln = 0
2ln = 0

Divide each side by '2'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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