4ln(x)+ln(x-7)=

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Solution for 4ln(x)+ln(x-7)= equation: 


Simplifying
4ln(x) + ln(x + -7) = 0

Multiply ln * x
4lnx + ln(x + -7) = 0

Reorder the terms:
4lnx + ln(-7 + x) = 0
4lnx + (-7 * ln + x * ln) = 0
4lnx + (-7ln + lnx) = 0

Reorder the terms:
-7ln + 4lnx + lnx = 0

Combine like terms: 4lnx + lnx = 5lnx
-7ln + 5lnx = 0

Solving
-7ln + 5lnx = 0

Solving for variable 'l'.

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

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-7 + 5x) = 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 '(-7 + 5x)' equal to zero and attempt to solve:

Simplifying
-7 + 5x = 0

Solving
-7 + 5x = 0

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

Add '7' to each side of the equation.
-7 + 7 + 5x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 5x = 0 + 7
5x = 0 + 7

Combine like terms: 0 + 7 = 7
5x = 7

Add '-5x' to each side of the equation.
5x + -5x = 7 + -5x

Combine like terms: 5x + -5x = 0
0 = 7 + -5x

Simplifying
0 = 7 + -5x

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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