2ln(5x-9)-7=3

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Solution for 2ln(5x-9)-7=3 equation: 


Simplifying
2ln(5x + -9) + -7 = 3

Reorder the terms:
2ln(-9 + 5x) + -7 = 3
(-9 * 2ln + 5x * 2ln) + -7 = 3
(-18ln + 10lnx) + -7 = 3

Reorder the terms:
-7 + -18ln + 10lnx = 3

Solving
-7 + -18ln + 10lnx = 3

Solving for variable 'l'.

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

Add '7' to each side of the equation.
-7 + -18ln + 7 + 10lnx = 3 + 7

Reorder the terms:
-7 + 7 + -18ln + 10lnx = 3 + 7

Combine like terms: -7 + 7 = 0
0 + -18ln + 10lnx = 3 + 7
-18ln + 10lnx = 3 + 7

Combine like terms: 3 + 7 = 10
-18ln + 10lnx = 10

Reorder the terms:
-10 + -18ln + 10lnx = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + -18ln + 10lnx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + -9ln + 5lnx) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-5 + -9ln + 5lnx)' equal to zero and attempt to solve:

Simplifying
-5 + -9ln + 5lnx = 0

Solving
-5 + -9ln + 5lnx = 0

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

Add '5' to each side of the equation.
-5 + -9ln + 5 + 5lnx = 0 + 5

Reorder the terms:
-5 + 5 + -9ln + 5lnx = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -9ln + 5lnx = 0 + 5
-9ln + 5lnx = 0 + 5

Combine like terms: 0 + 5 = 5
-9ln + 5lnx = 5

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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