60=10+5ln(3x+7)

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Solution for 60=10+5ln(3x+7) equation:


Simplifying
60 = 10 + 5ln(3x + 7)

Reorder the terms:
60 = 10 + 5ln(7 + 3x)
60 = 10 + (7 * 5ln + 3x * 5ln)
60 = 10 + (35ln + 15lnx)

Solving
60 = 10 + 35ln + 15lnx

Solving for variable 'l'.

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

Add '-35ln' to each side of the equation.
60 + -35ln = 10 + 35ln + -35ln + 15lnx

Combine like terms: 35ln + -35ln = 0
60 + -35ln = 10 + 0 + 15lnx
60 + -35ln = 10 + 15lnx

Add '-15lnx' to each side of the equation.
60 + -35ln + -15lnx = 10 + 15lnx + -15lnx

Combine like terms: 15lnx + -15lnx = 0
60 + -35ln + -15lnx = 10 + 0
60 + -35ln + -15lnx = 10

Add '-60' to each side of the equation.
60 + -35ln + -60 + -15lnx = 10 + -60

Reorder the terms:
60 + -60 + -35ln + -15lnx = 10 + -60

Combine like terms: 60 + -60 = 0
0 + -35ln + -15lnx = 10 + -60
-35ln + -15lnx = 10 + -60

Combine like terms: 10 + -60 = -50
-35ln + -15lnx = -50

Reorder the terms:
50 + -35ln + -15lnx = -50 + 50

Combine like terms: -50 + 50 = 0
50 + -35ln + -15lnx = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(10 + -7ln + -3lnx) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(10 + -7ln + -3lnx)' equal to zero and attempt to solve: Simplifying 10 + -7ln + -3lnx = 0 Solving 10 + -7ln + -3lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -7ln + -10 + -3lnx = 0 + -10 Reorder the terms: 10 + -10 + -7ln + -3lnx = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -7ln + -3lnx = 0 + -10 -7ln + -3lnx = 0 + -10 Combine like terms: 0 + -10 = -10 -7ln + -3lnx = -10 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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