ln(4x)=1+ln(x+1)

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Solution for ln(4x)=1+ln(x+1) equation:


Simplifying
ln(4x) = 1 + ln(x + 1)

Remove parenthesis around (4x)
ln * 4x = 1 + ln(x + 1)

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

Multiply ln * x
4lnx = 1 + ln(x + 1)

Reorder the terms:
4lnx = 1 + ln(1 + x)
4lnx = 1 + (1 * ln + x * ln)
4lnx = 1 + (1ln + lnx)

Solving
4lnx = 1 + 1ln + lnx

Solving for variable 'l'.

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

Add '-1ln' to each side of the equation.
-1ln + 4lnx = 1 + 1ln + -1ln + lnx

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

Add '-1lnx' to each side of the equation.
-1ln + 4lnx + -1lnx = 1 + lnx + -1lnx

Combine like terms: 4lnx + -1lnx = 3lnx
-1ln + 3lnx = 1 + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-1ln + 3lnx = 1 + 0
-1ln + 3lnx = 1

Reorder the terms:
-1 + -1ln + 3lnx = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -1ln + 3lnx = 0

The solution to this equation could not be determined.

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