ln(x-15)+(x+48)=3ln(4)

Solution for ln(x-15)+(x+48)=3ln(4) equation:

Simplifying
ln(x + -15) + (x + 48) = 3ln(4)

Reorder the terms:
ln(-15 + x) + (x + 48) = 3ln(4)
(-15 * ln + x * ln) + (x + 48) = 3ln(4)
(-15ln + lnx) + (x + 48) = 3ln(4)

Reorder the terms:
-15ln + lnx + (48 + x) = 3ln(4)

Remove parenthesis around (48 + x)
-15ln + lnx + 48 + x = 3ln(4)

Reorder the terms:
48 + -15ln + lnx + x = 3ln(4)

Reorder the terms for easier multiplication:
48 + -15ln + lnx + x = 3 * 4ln

Multiply 3 * 4
48 + -15ln + lnx + x = 12ln

Solving
48 + -15ln + lnx + x = 12ln

Solving for variable 'l'.

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

Add '-12ln' to each side of the equation.
48 + -15ln + lnx + -12ln + x = 12ln + -12ln

Reorder the terms:
48 + -15ln + -12ln + lnx + x = 12ln + -12ln

Combine like terms: -15ln + -12ln = -27ln
48 + -27ln + lnx + x = 12ln + -12ln

Combine like terms: 12ln + -12ln = 0
48 + -27ln + lnx + x = 0

Add '-48' to each side of the equation.
48 + -27ln + lnx + -48 + x = 0 + -48

Reorder the terms:
48 + -48 + -27ln + lnx + x = 0 + -48

Combine like terms: 48 + -48 = 0
0 + -27ln + lnx + x = 0 + -48
-27ln + lnx + x = 0 + -48

Combine like terms: 0 + -48 = -48
-27ln + lnx + x = -48

Add '-1x' to each side of the equation.
-27ln + lnx + x + -1x = -48 + -1x

Combine like terms: x + -1x = 0
-27ln + lnx + 0 = -48 + -1x
-27ln + lnx = -48 + -1x

Reorder the terms:
48 + -27ln + lnx + x = -48 + -1x + 48 + x

Reorder the terms:
48 + -27ln + lnx + x = -48 + 48 + -1x + x

Combine like terms: -48 + 48 = 0
48 + -27ln + lnx + x = 0 + -1x + x
48 + -27ln + lnx + x = -1x + x

Combine like terms: -1x + x = 0
48 + -27ln + lnx + x = 0

The solution to this equation could not be determined.