ln(4)+ln(x)=ln(3)+ln(x+1)

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Solution for ln(4)+ln(x)=ln(3)+ln(x+1) equation:


Simplifying
ln(4) + ln(x) = ln(3) + ln(x + 1)

Reorder the terms for easier multiplication:
4ln + ln(x) = ln(3) + ln(x + 1)

Multiply ln * x
4ln + lnx = ln(3) + ln(x + 1)

Reorder the terms for easier multiplication:
4ln + lnx = 3ln + ln(x + 1)

Reorder the terms:
4ln + lnx = 3ln + ln(1 + x)
4ln + lnx = 3ln + (1 * ln + x * ln)
4ln + lnx = 3ln + (1ln + lnx)

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

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

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

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

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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