ln(x)=ln(3)+ln(4)

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Solution for ln(x)=ln(3)+ln(4) equation:


Simplifying
ln(x) = ln(3) + ln(4)

Multiply ln * x
lnx = ln(3) + ln(4)

Reorder the terms for easier multiplication:
lnx = 3ln + ln(4)

Reorder the terms for easier multiplication:
lnx = 3ln + 4ln

Combine like terms: 3ln + 4ln = 7ln
lnx = 7ln

Solving
lnx = 7ln

Solving for variable 'l'.

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

Add '-7ln' to each side of the equation.
-7ln + lnx = 7ln + -7ln

Combine like terms: 7ln + -7ln = 0
-7ln + lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-7 + 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 '(-7 + x)' equal to zero and attempt to solve: Simplifying -7 + x = 0 Solving -7 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + x = 0 + 7 x = 0 + 7 Combine like terms: 0 + 7 = 7 x = 7 Add '-1x' to each side of the equation. x + -1x = 7 + -1x Combine like terms: x + -1x = 0 0 = 7 + -1x Simplifying 0 = 7 + -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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