ln(8)+ln(b)-ln(4)=ln(12)

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Solution for ln(8)+ln(b)-ln(4)=ln(12) equation: 


Simplifying
ln(8) + ln(b) + -1ln(4) = ln(12)

Reorder the terms for easier multiplication:
8ln + ln(b) + -1ln(4) = ln(12)

Multiply ln * b
8ln + bln + -1ln(4) = ln(12)

Reorder the terms for easier multiplication:
8ln + bln + -1 * 4ln = ln(12)

Multiply -1 * 4
8ln + bln + -4ln = ln(12)

Reorder the terms:
bln + 8ln + -4ln = ln(12)

Combine like terms: 8ln + -4ln = 4ln
bln + 4ln = ln(12)

Reorder the terms for easier multiplication:
bln + 4ln = 12ln

Solving
bln + 4ln = 12ln

Solving for variable 'b'.

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

Add '-4ln' to each side of the equation.
bln + 4ln + -4ln = 12ln + -4ln

Combine like terms: 4ln + -4ln = 0
bln + 0 = 12ln + -4ln
bln = 12ln + -4ln

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

Divide each side by 'ln'.
b = 8

Simplifying
b = 8

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