8ln(x+8)+ln(5)=ln(x)

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Solution for 8ln(x+8)+ln(5)=ln(x) equation: 


Simplifying
8ln(x + 8) + ln(5) = ln(x)

Reorder the terms:
8ln(8 + x) + ln(5) = ln(x)
(8 * 8ln + x * 8ln) + ln(5) = ln(x)
(64ln + 8lnx) + ln(5) = ln(x)

Reorder the terms for easier multiplication:
64ln + 8lnx + 5ln = ln(x)

Reorder the terms:
64ln + 5ln + 8lnx = ln(x)

Combine like terms: 64ln + 5ln = 69ln
69ln + 8lnx = ln(x)

Multiply ln * x
69ln + 8lnx = lnx

Solving
69ln + 8lnx = 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.
69ln + 8lnx + -1lnx = lnx + -1lnx

Combine like terms: 8lnx + -1lnx = 7lnx
69ln + 7lnx = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
69ln + 7lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(69 + 7x) = 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 '(69 + 7x)' equal to zero and attempt to solve:

Simplifying
69 + 7x = 0

Solving
69 + 7x = 0

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

Add '-69' to each side of the equation.
69 + -69 + 7x = 0 + -69

Combine like terms: 69 + -69 = 0
0 + 7x = 0 + -69
7x = 0 + -69

Combine like terms: 0 + -69 = -69
7x = -69

Add '-7x' to each side of the equation.
7x + -7x = -69 + -7x

Combine like terms: 7x + -7x = 0
0 = -69 + -7x

Simplifying
0 = -69 + -7x

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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