ln(10)+3ln(2)=ln(x)

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Solution for ln(10)+3ln(2)=ln(x) equation: 


Simplifying
ln(10) + 3ln(2) = ln(x)

Reorder the terms for easier multiplication:
10ln + 3ln(2) = ln(x)

Reorder the terms for easier multiplication:
10ln + 3 * 2ln = ln(x)

Multiply 3 * 2
10ln + 6ln = ln(x)

Combine like terms: 10ln + 6ln = 16ln
16ln = ln(x)

Multiply ln * x
16ln = lnx

Solving
16ln = lnx

Solving for variable 'l'.

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

Add '-1lnx' to each side of the equation.
16ln + -1lnx = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
16ln + -1lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(16 + -1x) = 0


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 '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 0 + -16
-1x = 0 + -16

Combine like terms: 0 + -16 = -16
-1x = -16

Add 'x' to each side of the equation.
-1x + x = -16 + x

Combine like terms: -1x + x = 0
0 = -16 + x

Simplifying
0 = -16 + x

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.

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