Log(5x+2)=Log(3x+9)

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Solution for Log(5x+2)=Log(3x+9) equation: 


Simplifying
Log(5x + 2) = Log(3x + 9)

Reorder the terms:
goL(2 + 5x) = Log(3x + 9)
(2 * goL + 5x * goL) = Log(3x + 9)
(2goL + 5goxL) = Log(3x + 9)

Reorder the terms:
2goL + 5goxL = goL(9 + 3x)
2goL + 5goxL = (9 * goL + 3x * goL)
2goL + 5goxL = (9goL + 3goxL)

Solving
2goL + 5goxL = 9goL + 3goxL

Solving for variable 'g'.

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

Add '-9goL' to each side of the equation.
2goL + -9goL + 5goxL = 9goL + -9goL + 3goxL

Combine like terms: 2goL + -9goL = -7goL
-7goL + 5goxL = 9goL + -9goL + 3goxL

Combine like terms: 9goL + -9goL = 0
-7goL + 5goxL = 0 + 3goxL
-7goL + 5goxL = 3goxL

Add '-3goxL' to each side of the equation.
-7goL + 5goxL + -3goxL = 3goxL + -3goxL

Combine like terms: 5goxL + -3goxL = 2goxL
-7goL + 2goxL = 3goxL + -3goxL

Combine like terms: 3goxL + -3goxL = 0
-7goL + 2goxL = 0

Factor out the Greatest Common Factor (GCF), 'goL'.
goL(-7 + 2x) = 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 '(-7 + 2x)' equal to zero and attempt to solve:

Simplifying
-7 + 2x = 0

Solving
-7 + 2x = 0

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

Add '7' to each side of the equation.
-7 + 7 + 2x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 2x = 0 + 7
2x = 0 + 7

Combine like terms: 0 + 7 = 7
2x = 7

Add '-2x' to each side of the equation.
2x + -2x = 7 + -2x

Combine like terms: 2x + -2x = 0
0 = 7 + -2x

Simplifying
0 = 7 + -2x

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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