Ln(8)+ln(4x+7)=ln(8)

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Solution for Ln(8)+ln(4x+7)=ln(8) equation: 


Simplifying
Ln(8) + ln(4x + 7) = ln(8)

Reorder the terms for easier multiplication:
8nL + ln(4x + 7) = ln(8)

Reorder the terms:
8nL + ln(7 + 4x) = ln(8)
8nL + (7 * ln + 4x * ln) = ln(8)
8nL + (7ln + 4lnx) = ln(8)

Reorder the terms:
7ln + 4lnx + 8nL = ln(8)

Reorder the terms for easier multiplication:
7ln + 4lnx + 8nL = 8ln

Solving
7ln + 4lnx + 8nL = 8ln

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.
7ln + 4lnx + -8ln + 8nL = 8ln + -8ln

Reorder the terms:
7ln + -8ln + 4lnx + 8nL = 8ln + -8ln

Combine like terms: 7ln + -8ln = -1ln
-1ln + 4lnx + 8nL = 8ln + -8ln

Combine like terms: 8ln + -8ln = 0
-1ln + 4lnx + 8nL = 0

Add '-8nL' to each side of the equation.
-1ln + 4lnx + 8nL + -8nL = 0 + -8nL

Combine like terms: 8nL + -8nL = 0
-1ln + 4lnx + 0 = 0 + -8nL
-1ln + 4lnx = 0 + -8nL
Remove the zero:
-1ln + 4lnx = -8nL

Combine like terms: -8nL + 8nL = 0
-1ln + 4lnx + 8nL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-1l + 4lx + 8L) = 0


Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Add '-1n' to each side of the equation.
n + -1n = 0 + -1n
Remove the zero:
0 = -1n

Simplifying
0 = -1n

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 '(-1l + 4lx + 8L)' equal to zero and attempt to solve:

Simplifying
-1l + 4lx + 8L = 0

Reorder the terms:
8L + -1l + 4lx = 0

Solving
8L + -1l + 4lx = 0

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

Add '-8L' to each side of the equation.
8L + -1l + -8L + 4lx = 0 + -8L

Reorder the terms:
8L + -8L + -1l + 4lx = 0 + -8L

Combine like terms: 8L + -8L = 0
0 + -1l + 4lx = 0 + -8L
-1l + 4lx = 0 + -8L
Remove the zero:
-1l + 4lx = -8L

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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