ln(x+5)+ln(16)=2ln(x)

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Solution for ln(x+5)+ln(16)=2ln(x) equation: 


Simplifying
ln(x + 5) + ln(16) = 2ln(x)

Reorder the terms:
ln(5 + x) + ln(16) = 2ln(x)
(5 * ln + x * ln) + ln(16) = 2ln(x)
(5ln + lnx) + ln(16) = 2ln(x)

Reorder the terms for easier multiplication:
5ln + lnx + 16ln = 2ln(x)

Reorder the terms:
5ln + 16ln + lnx = 2ln(x)

Combine like terms: 5ln + 16ln = 21ln
21ln + lnx = 2ln(x)

Multiply ln * x
21ln + lnx = 2lnx

Solving
21ln + lnx = 2lnx

Solving for variable 'l'.

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

Add '-2lnx' to each side of the equation.
21ln + lnx + -2lnx = 2lnx + -2lnx

Combine like terms: lnx + -2lnx = -1lnx
21ln + -1lnx = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
21ln + -1lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(21 + -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 '(21 + -1x)' equal to zero and attempt to solve:

Simplifying
21 + -1x = 0

Solving
21 + -1x = 0

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

Add '-21' to each side of the equation.
21 + -21 + -1x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -1x = 0 + -21
-1x = 0 + -21

Combine like terms: 0 + -21 = -21
-1x = -21

Add 'x' to each side of the equation.
-1x + x = -21 + x

Combine like terms: -1x + x = 0
0 = -21 + x

Simplifying
0 = -21 + 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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