ln(x-5)+ln(5x+1)=7

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Solution for ln(x-5)+ln(5x+1)=7 equation:


Simplifying
ln(x + -5) + ln(5x + 1) = 7

Reorder the terms:
ln(-5 + x) + ln(5x + 1) = 7
(-5 * ln + x * ln) + ln(5x + 1) = 7
(-5ln + lnx) + ln(5x + 1) = 7

Reorder the terms:
-5ln + lnx + ln(1 + 5x) = 7
-5ln + lnx + (1 * ln + 5x * ln) = 7
-5ln + lnx + (1ln + 5lnx) = 7

Reorder the terms:
-5ln + 1ln + lnx + 5lnx = 7

Combine like terms: -5ln + 1ln = -4ln
-4ln + lnx + 5lnx = 7

Combine like terms: lnx + 5lnx = 6lnx
-4ln + 6lnx = 7

Solving
-4ln + 6lnx = 7

Solving for variable 'l'.

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

Reorder the terms:
-7 + -4ln + 6lnx = 7 + -7

Combine like terms: 7 + -7 = 0
-7 + -4ln + 6lnx = 0

The solution to this equation could not be determined.

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