6*ln(x+10)=ln(5)

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Solution for 6*ln(x+10)=ln(5) equation: 


Simplifying
6ln(x + 10) = ln(5)

Reorder the terms:
6ln(10 + x) = ln(5)
(10 * 6ln + x * 6ln) = ln(5)
(60ln + 6lnx) = ln(5)

Reorder the terms for easier multiplication:
60ln + 6lnx = 5ln

Solving
60ln + 6lnx = 5ln

Solving for variable 'l'.

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

Add '-5ln' to each side of the equation.
60ln + -5ln + 6lnx = 5ln + -5ln

Combine like terms: 60ln + -5ln = 55ln
55ln + 6lnx = 5ln + -5ln

Combine like terms: 5ln + -5ln = 0
55ln + 6lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(55 + 6x) = 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 '(55 + 6x)' equal to zero and attempt to solve:

Simplifying
55 + 6x = 0

Solving
55 + 6x = 0

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

Add '-55' to each side of the equation.
55 + -55 + 6x = 0 + -55

Combine like terms: 55 + -55 = 0
0 + 6x = 0 + -55
6x = 0 + -55

Combine like terms: 0 + -55 = -55
6x = -55

Add '-6x' to each side of the equation.
6x + -6x = -55 + -6x

Combine like terms: 6x + -6x = 0
0 = -55 + -6x

Simplifying
0 = -55 + -6x

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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