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Simplifying 10ln(2x) + 2ln(2) = 28 Remove parenthesis around (2x) 10ln * 2x + 2ln(2) = 28 Reorder the terms for easier multiplication: 10 * 2ln * x + 2ln(2) = 28 Multiply 10 * 2 20ln * x + 2ln(2) = 28 Multiply ln * x 20lnx + 2ln(2) = 28 Reorder the terms for easier multiplication: 20lnx + 2 * 2ln = 28 Multiply 2 * 2 20lnx + 4ln = 28 Reorder the terms: 4ln + 20lnx = 28 Solving 4ln + 20lnx = 28 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -28 + 4ln + 20lnx = 28 + -28 Combine like terms: 28 + -28 = 0 -28 + 4ln + 20lnx = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-7 + ln + 5lnx) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-7 + ln + 5lnx)' equal to zero and attempt to solve: Simplifying -7 + ln + 5lnx = 0 Solving -7 + ln + 5lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '7' to each side of the equation. -7 + ln + 7 + 5lnx = 0 + 7 Reorder the terms: -7 + 7 + ln + 5lnx = 0 + 7 Combine like terms: -7 + 7 = 0 0 + ln + 5lnx = 0 + 7 ln + 5lnx = 0 + 7 Combine like terms: 0 + 7 = 7 ln + 5lnx = 7 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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