2ln(5)+ln(3)=ln(x)

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Solution for 2ln(5)+ln(3)=ln(x) equation: 


Simplifying
2ln(5) + ln(3) = ln(x)

Reorder the terms for easier multiplication:
2 * 5ln + ln(3) = ln(x)

Multiply 2 * 5
10ln + ln(3) = ln(x)

Reorder the terms for easier multiplication:
10ln + 3ln = ln(x)

Combine like terms: 10ln + 3ln = 13ln
13ln = ln(x)

Multiply ln * x
13ln = lnx

Solving
13ln = lnx

Solving for variable 'l'.

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

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

Combine like terms: lnx + -1lnx = 0
13ln + -1lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(13 + -1x) = 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 + -1x)' equal to zero and attempt to solve:

Simplifying
13 + -1x = 0

Solving
13 + -1x = 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 + -1x = 0 + -13

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

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

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

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

Simplifying
0 = -13 + x

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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