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Simplifying ln(p) + ln(p + 4) = ln(77) Multiply ln * p lnp + ln(p + 4) = ln(77) Reorder the terms: lnp + ln(4 + p) = ln(77) lnp + (4 * ln + p * ln) = ln(77) lnp + (4ln + lnp) = ln(77) Reorder the terms: 4ln + lnp + lnp = ln(77) Combine like terms: lnp + lnp = 2lnp 4ln + 2lnp = ln(77) Reorder the terms for easier multiplication: 4ln + 2lnp = 77ln Solving 4ln + 2lnp = 77ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-77ln' to each side of the equation. 4ln + -77ln + 2lnp = 77ln + -77ln Combine like terms: 4ln + -77ln = -73ln -73ln + 2lnp = 77ln + -77ln Combine like terms: 77ln + -77ln = 0 -73ln + 2lnp = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-73 + 2p) = 0Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-73 + 2p)' equal to zero and attempt to solve: Simplifying -73 + 2p = 0 Solving -73 + 2p = 0 Move all terms containing l to the left, all other terms to the right. Add '73' to each side of the equation. -73 + 73 + 2p = 0 + 73 Combine like terms: -73 + 73 = 0 0 + 2p = 0 + 73 2p = 0 + 73 Combine like terms: 0 + 73 = 73 2p = 73 Add '-2p' to each side of the equation. 2p + -2p = 73 + -2p Combine like terms: 2p + -2p = 0 0 = 73 + -2p Simplifying 0 = 73 + -2p 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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