15000=12300+1000ln(t+1)

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Solution for 15000=12300+1000ln(t+1) equation:


Simplifying
15000 = 12300 + 1000ln(t + 1)

Reorder the terms:
15000 = 12300 + 1000ln(1 + t)
15000 = 12300 + (1 * 1000ln + t * 1000ln)
15000 = 12300 + (1000ln + 1000lnt)

Solving
15000 = 12300 + 1000ln + 1000lnt

Solving for variable 'l'.

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

Add '-1000ln' to each side of the equation.
15000 + -1000ln = 12300 + 1000ln + -1000ln + 1000lnt

Combine like terms: 1000ln + -1000ln = 0
15000 + -1000ln = 12300 + 0 + 1000lnt
15000 + -1000ln = 12300 + 1000lnt

Add '-1000lnt' to each side of the equation.
15000 + -1000ln + -1000lnt = 12300 + 1000lnt + -1000lnt

Combine like terms: 1000lnt + -1000lnt = 0
15000 + -1000ln + -1000lnt = 12300 + 0
15000 + -1000ln + -1000lnt = 12300

Add '-15000' to each side of the equation.
15000 + -1000ln + -15000 + -1000lnt = 12300 + -15000

Reorder the terms:
15000 + -15000 + -1000ln + -1000lnt = 12300 + -15000

Combine like terms: 15000 + -15000 = 0
0 + -1000ln + -1000lnt = 12300 + -15000
-1000ln + -1000lnt = 12300 + -15000

Combine like terms: 12300 + -15000 = -2700
-1000ln + -1000lnt = -2700

Reorder the terms:
2700 + -1000ln + -1000lnt = -2700 + 2700

Combine like terms: -2700 + 2700 = 0
2700 + -1000ln + -1000lnt = 0

Factor out the Greatest Common Factor (GCF), '100'.
100(27 + -10ln + -10lnt) = 0

Ignore the factor 100.

Subproblem 1

Set the factor '(27 + -10ln + -10lnt)' equal to zero and attempt to solve: Simplifying 27 + -10ln + -10lnt = 0 Solving 27 + -10ln + -10lnt = 0 Move all terms containing l to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -10ln + -27 + -10lnt = 0 + -27 Reorder the terms: 27 + -27 + -10ln + -10lnt = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -10ln + -10lnt = 0 + -27 -10ln + -10lnt = 0 + -27 Combine like terms: 0 + -27 = -27 -10ln + -10lnt = -27 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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