ln(y-4)-ln(5)=5x+ln(x)

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


Simplifying
ln(y + -4) + -1ln(5) = 5x + ln(x)

Reorder the terms:
ln(-4 + y) + -1ln(5) = 5x + ln(x)
(-4 * ln + y * ln) + -1ln(5) = 5x + ln(x)
(-4ln + lny) + -1ln(5) = 5x + ln(x)

Reorder the terms for easier multiplication:
-4ln + lny + -1 * 5ln = 5x + ln(x)

Multiply -1 * 5
-4ln + lny + -5ln = 5x + ln(x)

Reorder the terms:
-4ln + -5ln + lny = 5x + ln(x)

Combine like terms: -4ln + -5ln = -9ln
-9ln + lny = 5x + ln(x)

Multiply ln * x
-9ln + lny = 5x + lnx

Reorder the terms:
-9ln + lny = lnx + 5x

Solving
-9ln + lny = lnx + 5x

Solving for variable 'l'.

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

Add '-1lnx' to each side of the equation.
-9ln + -1lnx + lny = lnx + -1lnx + 5x

Combine like terms: lnx + -1lnx = 0
-9ln + -1lnx + lny = 0 + 5x
-9ln + -1lnx + lny = 5x

Combine like terms: 5x + -5x = 0
-9ln + -1lnx + lny + -5x = 0

The solution to this equation could not be determined.

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