ln(5)5=ln(x)

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


Simplifying
ln(5) * 5 = ln(x)

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

Multiply 5 * 5
25ln = ln(x)

Multiply ln * x
25ln = lnx

Solving
25ln = 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.
25ln + -1lnx = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
25ln + -1lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(25 + -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 '(25 + -1x)' equal to zero and attempt to solve:

Simplifying
25 + -1x = 0

Solving
25 + -1x = 0

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

Add '-25' to each side of the equation.
25 + -25 + -1x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1x = 0 + -25
-1x = 0 + -25

Combine like terms: 0 + -25 = -25
-1x = -25

Add 'x' to each side of the equation.
-1x + x = -25 + x

Combine like terms: -1x + x = 0
0 = -25 + x

Simplifying
0 = -25 + 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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