ln(5x+6)+ln(x-2)=1

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Solution for ln(5x+6)+ln(x-2)=1 equation:


Simplifying
ln(5x + 6) + ln(x + -2) = 1

Reorder the terms:
ln(6 + 5x) + ln(x + -2) = 1
(6 * ln + 5x * ln) + ln(x + -2) = 1
(6ln + 5lnx) + ln(x + -2) = 1

Reorder the terms:
6ln + 5lnx + ln(-2 + x) = 1
6ln + 5lnx + (-2 * ln + x * ln) = 1
6ln + 5lnx + (-2ln + lnx) = 1

Reorder the terms:
6ln + -2ln + 5lnx + lnx = 1

Combine like terms: 6ln + -2ln = 4ln
4ln + 5lnx + lnx = 1

Combine like terms: 5lnx + lnx = 6lnx
4ln + 6lnx = 1

Solving
4ln + 6lnx = 1

Solving for variable 'l'.

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

Reorder the terms:
-1 + 4ln + 6lnx = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 4ln + 6lnx = 0

The solution to this equation could not be determined.

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