4*ln(3x+10)-7=-15

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Solution for 4*ln(3x+10)-7=-15 equation:


Simplifying
4ln(3x + 10) + -7 = -15

Reorder the terms:
4ln(10 + 3x) + -7 = -15
(10 * 4ln + 3x * 4ln) + -7 = -15
(40ln + 12lnx) + -7 = -15

Reorder the terms:
-7 + 40ln + 12lnx = -15

Solving
-7 + 40ln + 12lnx = -15

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 + 40ln + 7 + 12lnx = -15 + 7

Reorder the terms:
-7 + 7 + 40ln + 12lnx = -15 + 7

Combine like terms: -7 + 7 = 0
0 + 40ln + 12lnx = -15 + 7
40ln + 12lnx = -15 + 7

Combine like terms: -15 + 7 = -8
40ln + 12lnx = -8

Reorder the terms:
8 + 40ln + 12lnx = -8 + 8

Combine like terms: -8 + 8 = 0
8 + 40ln + 12lnx = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(2 + 10ln + 3lnx) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(2 + 10ln + 3lnx)' equal to zero and attempt to solve: Simplifying 2 + 10ln + 3lnx = 0 Solving 2 + 10ln + 3lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 10ln + -2 + 3lnx = 0 + -2 Reorder the terms: 2 + -2 + 10ln + 3lnx = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 10ln + 3lnx = 0 + -2 10ln + 3lnx = 0 + -2 Combine like terms: 0 + -2 = -2 10ln + 3lnx = -2 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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