160=46+19ln(10t+1)

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Solution for 160=46+19ln(10t+1) equation:


Simplifying
160 = 46 + 19ln(10t + 1)

Reorder the terms:
160 = 46 + 19ln(1 + 10t)
160 = 46 + (1 * 19ln + 10t * 19ln)
160 = 46 + (19ln + 190lnt)

Solving
160 = 46 + 19ln + 190lnt

Solving for variable 'l'.

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

Add '-19ln' to each side of the equation.
160 + -19ln = 46 + 19ln + -19ln + 190lnt

Combine like terms: 19ln + -19ln = 0
160 + -19ln = 46 + 0 + 190lnt
160 + -19ln = 46 + 190lnt

Add '-190lnt' to each side of the equation.
160 + -19ln + -190lnt = 46 + 190lnt + -190lnt

Combine like terms: 190lnt + -190lnt = 0
160 + -19ln + -190lnt = 46 + 0
160 + -19ln + -190lnt = 46

Add '-160' to each side of the equation.
160 + -19ln + -160 + -190lnt = 46 + -160

Reorder the terms:
160 + -160 + -19ln + -190lnt = 46 + -160

Combine like terms: 160 + -160 = 0
0 + -19ln + -190lnt = 46 + -160
-19ln + -190lnt = 46 + -160

Combine like terms: 46 + -160 = -114
-19ln + -190lnt = -114

Reorder the terms:
114 + -19ln + -190lnt = -114 + 114

Combine like terms: -114 + 114 = 0
114 + -19ln + -190lnt = 0

Factor out the Greatest Common Factor (GCF), '19'.
19(6 + -1ln + -10lnt) = 0

Ignore the factor 19.

Subproblem 1

Set the factor '(6 + -1ln + -10lnt)' equal to zero and attempt to solve: Simplifying 6 + -1ln + -10lnt = 0 Solving 6 + -1ln + -10lnt = 0 Move all terms containing l to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -1ln + -6 + -10lnt = 0 + -6 Reorder the terms: 6 + -6 + -1ln + -10lnt = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1ln + -10lnt = 0 + -6 -1ln + -10lnt = 0 + -6 Combine like terms: 0 + -6 = -6 -1ln + -10lnt = -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.

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