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

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


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

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

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

Multiply 2 * 3
lnx = 6ln + ln(5)

Reorder the terms for easier multiplication:
lnx = 6ln + 5ln

Combine like terms: 6ln + 5ln = 11ln
lnx = 11ln

Solving
lnx = 11ln

Solving for variable 'l'.

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

Add '-11ln' to each side of the equation.
-11ln + lnx = 11ln + -11ln

Combine like terms: 11ln + -11ln = 0
-11ln + lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-11 + 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 '(-11 + x)' equal to zero and attempt to solve:

Simplifying
-11 + x = 0

Solving
-11 + x = 0

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

Add '11' to each side of the equation.
-11 + 11 + x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + x = 0 + 11
x = 0 + 11

Combine like terms: 0 + 11 = 11
x = 11

Add '-1x' to each side of the equation.
x + -1x = 11 + -1x

Combine like terms: x + -1x = 0
0 = 11 + -1x

Simplifying
0 = 11 + -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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