ln*10+ln*(x-3)=ln*54

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Solution for ln*10+ln*(x-3)=ln*54 equation: 


Simplifying
ln * 10 + ln(x + -3) = ln * 54

Reorder the terms for easier multiplication:
10ln + ln(x + -3) = ln * 54

Reorder the terms:
10ln + ln(-3 + x) = ln * 54
10ln + (-3 * ln + x * ln) = ln * 54
10ln + (-3ln + lnx) = ln * 54

Combine like terms: 10ln + -3ln = 7ln
7ln + lnx = ln * 54

Reorder the terms for easier multiplication:
7ln + lnx = 54ln

Solving
7ln + lnx = 54ln

Solving for variable 'l'.

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

Add '-54ln' to each side of the equation.
7ln + -54ln + lnx = 54ln + -54ln

Combine like terms: 7ln + -54ln = -47ln
-47ln + lnx = 54ln + -54ln

Combine like terms: 54ln + -54ln = 0
-47ln + lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-47 + x) = 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 '(-47 + x)' equal to zero and attempt to solve:

Simplifying
-47 + x = 0

Solving
-47 + x = 0

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

Add '47' to each side of the equation.
-47 + 47 + x = 0 + 47

Combine like terms: -47 + 47 = 0
0 + x = 0 + 47
x = 0 + 47

Combine like terms: 0 + 47 = 47
x = 47

Add '-1x' to each side of the equation.
x + -1x = 47 + -1x

Combine like terms: x + -1x = 0
0 = 47 + -1x

Simplifying
0 = 47 + -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.

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