48=14ln(17x+4)

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Solution for 48=14ln(17x+4) equation:


Simplifying
48 = 14ln(17x + 4)

Reorder the terms:
48 = 14ln(4 + 17x)
48 = (4 * 14ln + 17x * 14ln)
48 = (56ln + 238lnx)

Solving
48 = 56ln + 238lnx

Solving for variable 'l'.

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

Add '-56ln' to each side of the equation.
48 + -56ln = 56ln + -56ln + 238lnx

Combine like terms: 56ln + -56ln = 0
48 + -56ln = 0 + 238lnx
48 + -56ln = 238lnx

Add '-238lnx' to each side of the equation.
48 + -56ln + -238lnx = 238lnx + -238lnx

Combine like terms: 238lnx + -238lnx = 0
48 + -56ln + -238lnx = 0

Add '-48' to each side of the equation.
48 + -56ln + -48 + -238lnx = 0 + -48

Reorder the terms:
48 + -48 + -56ln + -238lnx = 0 + -48

Combine like terms: 48 + -48 = 0
0 + -56ln + -238lnx = 0 + -48
-56ln + -238lnx = 0 + -48

Combine like terms: 0 + -48 = -48
-56ln + -238lnx = -48

Reorder the terms:
48 + -56ln + -238lnx = -48 + 48

Combine like terms: -48 + 48 = 0
48 + -56ln + -238lnx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(24 + -28ln + -119lnx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(24 + -28ln + -119lnx)' equal to zero and attempt to solve: Simplifying 24 + -28ln + -119lnx = 0 Solving 24 + -28ln + -119lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -28ln + -24 + -119lnx = 0 + -24 Reorder the terms: 24 + -24 + -28ln + -119lnx = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -28ln + -119lnx = 0 + -24 -28ln + -119lnx = 0 + -24 Combine like terms: 0 + -24 = -24 -28ln + -119lnx = -24 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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