ln(16)-ln(256)+ln(2)=xln(2)

Solution for ln(16)-ln(256)+ln(2)=xln(2) equation:

Simplifying
ln(16) + -1ln(256) + ln(2) = xln(2)

Reorder the terms for easier multiplication:
16ln + -1ln(256) + ln(2) = xln(2)

Reorder the terms for easier multiplication:
16ln + -1 * 256ln + ln(2) = xln(2)

Multiply -1 * 256
16ln + -256ln + ln(2) = xln(2)

Reorder the terms for easier multiplication:
16ln + -256ln + 2ln = xln(2)

Combine like terms: 16ln + -256ln = -240ln
-240ln + 2ln = xln(2)

Combine like terms: -240ln + 2ln = -238ln
-238ln = xln(2)

Reorder the terms for easier multiplication:
-238ln = 2lnx

Solving
-238ln = 2lnx

Solving for variable 'l'.

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

Add '-2lnx' to each side of the equation.
-238ln + -2lnx = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
-238ln + -2lnx = 0

Factor out the Greatest Common Factor (GCF), '-2ln'.
-2ln(119 + x) = 0

Ignore the factor -2.
Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve:

Simplifying
ln = 0

Solving
ln = 0

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

Simplifying
ln = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(119 + x)' equal to zero and attempt to solve:

Simplifying
119 + x = 0

Solving
119 + x = 0

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

Add '-119' to each side of the equation.
119 + -119 + x = 0 + -119

Combine like terms: 119 + -119 = 0
0 + x = 0 + -119
x = 0 + -119

Combine like terms: 0 + -119 = -119
x = -119

Add '-1x' to each side of the equation.
x + -1x = -119 + -1x

Combine like terms: x + -1x = 0
0 = -119 + -1x

Simplifying
0 = -119 + -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.