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Simplifying 5 = ln(90t + 1) Reorder the terms: 5 = ln(1 + 90t) 5 = (1 * ln + 90t * ln) 5 = (1ln + 90lnt) Solving 5 = 1ln + 90lnt Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1ln' to each side of the equation. 5 + -1ln = 1ln + -1ln + 90lnt Combine like terms: 1ln + -1ln = 0 5 + -1ln = 0 + 90lnt 5 + -1ln = 90lnt Add '-90lnt' to each side of the equation. 5 + -1ln + -90lnt = 90lnt + -90lnt Combine like terms: 90lnt + -90lnt = 0 5 + -1ln + -90lnt = 0 Add '-5' to each side of the equation. 5 + -1ln + -5 + -90lnt = 0 + -5 Reorder the terms: 5 + -5 + -1ln + -90lnt = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1ln + -90lnt = 0 + -5 -1ln + -90lnt = 0 + -5 Combine like terms: 0 + -5 = -5 -1ln + -90lnt = -5 Reorder the terms: 5 + -1ln + -90lnt = -5 + 5 Combine like terms: -5 + 5 = 0 5 + -1ln + -90lnt = 0 The solution to this equation could not be determined.
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