Log(x-1)+Log(4)=Log(14)

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Solution for Log(x-1)+Log(4)=Log(14) equation: 


Simplifying
Log(x + -1) + Log(4) = Log(14)

Reorder the terms:
goL(-1 + x) + Log(4) = Log(14)
(-1 * goL + x * goL) + Log(4) = Log(14)
(-1goL + goxL) + Log(4) = Log(14)

Reorder the terms for easier multiplication:
-1goL + goxL + 4goL = Log(14)

Reorder the terms:
-1goL + 4goL + goxL = Log(14)

Combine like terms: -1goL + 4goL = 3goL
3goL + goxL = Log(14)

Reorder the terms for easier multiplication:
3goL + goxL = 14goL

Solving
3goL + goxL = 14goL

Solving for variable 'g'.

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

Add '-14goL' to each side of the equation.
3goL + -14goL + goxL = 14goL + -14goL

Combine like terms: 3goL + -14goL = -11goL
-11goL + goxL = 14goL + -14goL

Combine like terms: 14goL + -14goL = 0
-11goL + goxL = 0

Factor out the Greatest Common Factor (GCF), 'goL'.
goL(-11 + x) = 0


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

Simplifying
goL = 0

Solving
goL = 0

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

Simplifying
goL = 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 '(-11 + x)' equal to zero and attempt to solve:

Simplifying
-11 + x = 0

Solving
-11 + x = 0

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

Add '11' to each side of the equation.
-11 + 11 + x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + x = 0 + 11
x = 0 + 11

Combine like terms: 0 + 11 = 11
x = 11

Add '-1x' to each side of the equation.
x + -1x = 11 + -1x

Combine like terms: x + -1x = 0
0 = 11 + -1x

Simplifying
0 = 11 + -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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