2xln(5)=ln(2)

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Solution for 2xln(5)=ln(2) equation: 


Simplifying
2xln(5) = ln(2)

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

Multiply 2 * 5
10lnx = ln(2)

Reorder the terms for easier multiplication:
10lnx = 2ln

Solving
10lnx = 2ln

Solving for variable 'l'.

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

Add '-2ln' to each side of the equation.
-2ln + 10lnx = 2ln + -2ln

Combine like terms: 2ln + -2ln = 0
-2ln + 10lnx = 0

Factor out the Greatest Common Factor (GCF), '2ln'.
2ln(-1 + 5x) = 0

Ignore the factor 2.

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 '(-1 + 5x)' equal to zero and attempt to solve:

Simplifying
-1 + 5x = 0

Solving
-1 + 5x = 0

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

Add '1' to each side of the equation.
-1 + 1 + 5x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 5x = 0 + 1
5x = 0 + 1

Combine like terms: 0 + 1 = 1
5x = 1

Add '-5x' to each side of the equation.
5x + -5x = 1 + -5x

Combine like terms: 5x + -5x = 0
0 = 1 + -5x

Simplifying
0 = 1 + -5x

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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