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

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


Simplifying
ln(4)(x + -1) = ln(2)(2x + 4)

Reorder the terms:
ln * 4(-1 + x) = ln(2)(2x + 4)

Reorder the terms for easier multiplication:
4ln(-1 + x) = ln(2)(2x + 4)
(-1 * 4ln + x * 4ln) = ln(2)(2x + 4)
(-4ln + 4lnx) = ln(2)(2x + 4)

Reorder the terms:
-4ln + 4lnx = ln * 2(4 + 2x)

Reorder the terms for easier multiplication:
-4ln + 4lnx = 2ln(4 + 2x)
-4ln + 4lnx = (4 * 2ln + 2x * 2ln)
-4ln + 4lnx = (8ln + 4lnx)

Add '-4lnx' to each side of the equation.
-4ln + 4lnx + -4lnx = 8ln + 4lnx + -4lnx

Combine like terms: 4lnx + -4lnx = 0
-4ln + 0 = 8ln + 4lnx + -4lnx
-4ln = 8ln + 4lnx + -4lnx

Combine like terms: 4lnx + -4lnx = 0
-4ln = 8ln + 0
-4ln = 8ln

Solving
-4ln = 8ln

Solving for variable 'l'.

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

Add '-8ln' to each side of the equation.
-4ln + -8ln = 8ln + -8ln

Combine like terms: -4ln + -8ln = -12ln
-12ln = 8ln + -8ln

Combine like terms: 8ln + -8ln = 0
-12ln = 0

Divide each side by '-12'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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