7ln(3x+10)=42

Solution for 7ln(3x+10)=42 equation:

Simplifying
7ln(3x + 10) = 42

Reorder the terms:
7ln(10 + 3x) = 42
(10 * 7ln + 3x * 7ln) = 42
(70ln + 21lnx) = 42

Solving
70ln + 21lnx = 42

Solving for variable 'l'.

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

Reorder the terms:
-42 + 70ln + 21lnx = 42 + -42

Combine like terms: 42 + -42 = 0
-42 + 70ln + 21lnx = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(-6 + 10ln + 3lnx) = 0

Ignore the factor 7.
Subproblem 1
Set the factor '(-6 + 10ln + 3lnx)' equal to zero and attempt to solve:

Simplifying
-6 + 10ln + 3lnx = 0

Solving
-6 + 10ln + 3lnx = 0

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

Add '6' to each side of the equation.
-6 + 10ln + 6 + 3lnx = 0 + 6

Reorder the terms:
-6 + 6 + 10ln + 3lnx = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 10ln + 3lnx = 0 + 6
10ln + 3lnx = 0 + 6

Combine like terms: 0 + 6 = 6
10ln + 3lnx = 6

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.