ln(8x+18)=ln(7x+8)

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Solution for ln(8x+18)=ln(7x+8) equation: 


Simplifying
ln(8x + 18) = ln(7x + 8)

Reorder the terms:
ln(18 + 8x) = ln(7x + 8)
(18 * ln + 8x * ln) = ln(7x + 8)
(18ln + 8lnx) = ln(7x + 8)

Reorder the terms:
18ln + 8lnx = ln(8 + 7x)
18ln + 8lnx = (8 * ln + 7x * ln)
18ln + 8lnx = (8ln + 7lnx)

Solving
18ln + 8lnx = 8ln + 7lnx

Solving for variable 'l'.

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

Add '-8ln' to each side of the equation.
18ln + -8ln + 8lnx = 8ln + -8ln + 7lnx

Combine like terms: 18ln + -8ln = 10ln
10ln + 8lnx = 8ln + -8ln + 7lnx

Combine like terms: 8ln + -8ln = 0
10ln + 8lnx = 0 + 7lnx
10ln + 8lnx = 7lnx

Add '-7lnx' to each side of the equation.
10ln + 8lnx + -7lnx = 7lnx + -7lnx

Combine like terms: 8lnx + -7lnx = 1lnx
10ln + 1lnx = 7lnx + -7lnx

Combine like terms: 7lnx + -7lnx = 0
10ln + 1lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(10 + 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 '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Add '-1x' to each side of the equation.
x + -1x = -10 + -1x

Combine like terms: x + -1x = 0
0 = -10 + -1x

Simplifying
0 = -10 + -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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