ln(x)=ln(5)+ln(8)

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Solution for ln(x)=ln(5)+ln(8) equation: 


Simplifying
ln(x) = ln(5) + ln(8)

Multiply ln * x
lnx = ln(5) + ln(8)

Reorder the terms for easier multiplication:
lnx = 5ln + ln(8)

Reorder the terms for easier multiplication:
lnx = 5ln + 8ln

Combine like terms: 5ln + 8ln = 13ln
lnx = 13ln

Solving
lnx = 13ln

Solving for variable 'l'.

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

Add '-13ln' to each side of the equation.
-13ln + lnx = 13ln + -13ln

Combine like terms: 13ln + -13ln = 0
-13ln + lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-13 + 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 '(-13 + x)' equal to zero and attempt to solve:

Simplifying
-13 + x = 0

Solving
-13 + x = 0

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

Add '13' to each side of the equation.
-13 + 13 + x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + x = 0 + 13
x = 0 + 13

Combine like terms: 0 + 13 = 13
x = 13

Add '-1x' to each side of the equation.
x + -1x = 13 + -1x

Combine like terms: x + -1x = 0
0 = 13 + -1x

Simplifying
0 = 13 + -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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