ln(10x+3)+ln(x+7)=

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Solution for ln(10x+3)+ln(x+7)= equation: 


Simplifying
ln(10x + 3) + ln(x + 7) = 0

Reorder the terms:
ln(3 + 10x) + ln(x + 7) = 0
(3 * ln + 10x * ln) + ln(x + 7) = 0
(3ln + 10lnx) + ln(x + 7) = 0

Reorder the terms:
3ln + 10lnx + ln(7 + x) = 0
3ln + 10lnx + (7 * ln + x * ln) = 0
3ln + 10lnx + (7ln + lnx) = 0

Reorder the terms:
3ln + 7ln + 10lnx + lnx = 0

Combine like terms: 3ln + 7ln = 10ln
10ln + 10lnx + lnx = 0

Combine like terms: 10lnx + lnx = 11lnx
10ln + 11lnx = 0

Solving
10ln + 11lnx = 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(10 + 11x) = 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 '(10 + 11x)' equal to zero and attempt to solve:

Simplifying
10 + 11x = 0

Solving
10 + 11x = 0

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

Add '-10' to each side of the equation.
10 + -10 + 11x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 11x = 0 + -10
11x = 0 + -10

Combine like terms: 0 + -10 = -10
11x = -10

Add '-11x' to each side of the equation.
11x + -11x = -10 + -11x

Combine like terms: 11x + -11x = 0
0 = -10 + -11x

Simplifying
0 = -10 + -11x

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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