ln(x)=ln(8)+ln(27)

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Solution for ln(x)=ln(8)+ln(27) equation: 


Simplifying
ln(x) = ln(8) + ln(27)

Multiply ln * x
lnx = ln(8) + ln(27)

Reorder the terms for easier multiplication:
lnx = 8ln + ln(27)

Reorder the terms for easier multiplication:
lnx = 8ln + 27ln

Combine like terms: 8ln + 27ln = 35ln
lnx = 35ln

Solving
lnx = 35ln

Solving for variable 'l'.

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

Add '-35ln' to each side of the equation.
-35ln + lnx = 35ln + -35ln

Combine like terms: 35ln + -35ln = 0
-35ln + lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-35 + 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 '(-35 + x)' equal to zero and attempt to solve:

Simplifying
-35 + x = 0

Solving
-35 + x = 0

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

Add '35' to each side of the equation.
-35 + 35 + x = 0 + 35

Combine like terms: -35 + 35 = 0
0 + x = 0 + 35
x = 0 + 35

Combine like terms: 0 + 35 = 35
x = 35

Add '-1x' to each side of the equation.
x + -1x = 35 + -1x

Combine like terms: x + -1x = 0
0 = 35 + -1x

Simplifying
0 = 35 + -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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