Ln(x^2)+1=ln(4x-1)

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Solution for Ln(x^2)+1=ln(4x-1) equation:


Simplifying
Ln(x2) + 1 = ln(4x + -1)

Multiply nL * x2
nx2L + 1 = ln(4x + -1)

Reorder the terms:
1 + nx2L = ln(4x + -1)

Reorder the terms:
1 + nx2L = ln(-1 + 4x)
1 + nx2L = (-1 * ln + 4x * ln)
1 + nx2L = (-1ln + 4lnx)

Solving
1 + nx2L = -1ln + 4lnx

Solving for variable 'n'.

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

Add 'ln' to each side of the equation.
1 + ln + nx2L = -1ln + ln + 4lnx

Combine like terms: -1ln + ln = 0
1 + ln + nx2L = 0 + 4lnx
1 + ln + nx2L = 4lnx

Add '-4lnx' to each side of the equation.
1 + ln + -4lnx + nx2L = 4lnx + -4lnx

Combine like terms: 4lnx + -4lnx = 0
1 + ln + -4lnx + nx2L = 0

Add '-1' to each side of the equation.
1 + ln + -4lnx + -1 + nx2L = 0 + -1

Reorder the terms:
1 + -1 + ln + -4lnx + nx2L = 0 + -1

Combine like terms: 1 + -1 = 0
0 + ln + -4lnx + nx2L = 0 + -1
ln + -4lnx + nx2L = 0 + -1

Combine like terms: 0 + -1 = -1
ln + -4lnx + nx2L = -1

Reorder the terms:
1 + ln + -4lnx + nx2L = -1 + 1

Combine like terms: -1 + 1 = 0
1 + ln + -4lnx + nx2L = 0

The solution to this equation could not be determined.

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