ln(x)=.75ln(16)+ln(20)-3ln(8)

Simple and best practice solution for ln(x)=.75ln(16)+ln(20)-3ln(8) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

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Solution for ln(x)=.75ln(16)+ln(20)-3ln(8) equation:


Simplifying
ln(x) = 0.75ln(16) + ln(20) + -3ln(8)

Multiply ln * x
lnx = 0.75ln(16) + ln(20) + -3ln(8)

Reorder the terms for easier multiplication:
lnx = 0.75 * 16ln + ln(20) + -3ln(8)

Multiply 0.75 * 16
lnx = 12ln + ln(20) + -3ln(8)

Reorder the terms for easier multiplication:
lnx = 12ln + 20ln + -3ln(8)

Reorder the terms for easier multiplication:
lnx = 12ln + 20ln + -3 * 8ln

Multiply -3 * 8
lnx = 12ln + 20ln + -24ln

Combine like terms: 12ln + 20ln = 32ln
lnx = 32ln + -24ln

Combine like terms: 32ln + -24ln = 8ln
lnx = 8ln

Solving
lnx = 8ln

Solving for variable 'l'.

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

Add '-8ln' to each side of the equation.
-8ln + lnx = 8ln + -8ln

Combine like terms: 8ln + -8ln = 0
-8ln + lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-8 + x) = 0

Subproblem 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 '(-8 + x)' equal to zero and attempt to solve: Simplifying -8 + x = 0 Solving -8 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x = 0 + 8 x = 0 + 8 Combine like terms: 0 + 8 = 8 x = 8 Add '-1x' to each side of the equation. x + -1x = 8 + -1x Combine like terms: x + -1x = 0 0 = 8 + -1x Simplifying 0 = 8 + -1x 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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