Log(5m+1)=log(m^2-49)

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Solution for Log(5m+1)=log(m^2-49) equation: 


Simplifying
Log(5m + 1) = log(m2 + -49)

Reorder the terms:
goL(1 + 5m) = log(m2 + -49)
(1 * goL + 5m * goL) = log(m2 + -49)

Reorder the terms:
(5gmoL + 1goL) = log(m2 + -49)
(5gmoL + 1goL) = log(m2 + -49)

Reorder the terms:
5gmoL + 1goL = glo(-49 + m2)
5gmoL + 1goL = (-49 * glo + m2 * glo)

Reorder the terms:
5gmoL + 1goL = (glm2o + -49glo)
5gmoL + 1goL = (glm2o + -49glo)

Solving
5gmoL + 1goL = glm2o + -49glo

Solving for variable 'g'.

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

Add '-1glm2o' to each side of the equation.
5gmoL + -1glm2o + 1goL = glm2o + -1glm2o + -49glo

Reorder the terms:
-1glm2o + 5gmoL + 1goL = glm2o + -1glm2o + -49glo

Combine like terms: glm2o + -1glm2o = 0
-1glm2o + 5gmoL + 1goL = 0 + -49glo
-1glm2o + 5gmoL + 1goL = -49glo

Add '49glo' to each side of the equation.
-1glm2o + 5gmoL + 49glo + 1goL = -49glo + 49glo

Reorder the terms:
-1glm2o + 49glo + 5gmoL + 1goL = -49glo + 49glo

Combine like terms: -49glo + 49glo = 0
-1glm2o + 49glo + 5gmoL + 1goL = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(-1lm2 + 49l + 5mL + L) = 0


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

Simplifying
go = 0

Solving
go = 0

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

Simplifying
go = 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 '(-1lm2 + 49l + 5mL + L)' equal to zero and attempt to solve:

Simplifying
-1lm2 + 49l + 5mL + L = 0

Reorder the terms:
L + 49l + -1lm2 + 5mL = 0

Solving
L + 49l + -1lm2 + 5mL = 0

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

Add '-1L' to each side of the equation.
L + 49l + -1lm2 + -1L + 5mL = 0 + -1L

Reorder the terms:
L + -1L + 49l + -1lm2 + 5mL = 0 + -1L

Combine like terms: L + -1L = 0
0 + 49l + -1lm2 + 5mL = 0 + -1L
49l + -1lm2 + 5mL = 0 + -1L
Remove the zero:
49l + -1lm2 + 5mL = -1L

Add '-49l' to each side of the equation.
49l + -1lm2 + -49l + 5mL = -1L + -49l

Reorder the terms:
49l + -49l + -1lm2 + 5mL = -1L + -49l

Combine like terms: 49l + -49l = 0
0 + -1lm2 + 5mL = -1L + -49l
-1lm2 + 5mL = -1L + -49l

Add 'lm2' to each side of the equation.
-1lm2 + lm2 + 5mL = -1L + -49l + lm2

Combine like terms: -1lm2 + lm2 = 0
0 + 5mL = -1L + -49l + lm2
5mL = -1L + -49l + lm2

Add '-5mL' to each side of the equation.
5mL + -5mL = -1L + -49l + lm2 + -5mL

Combine like terms: 5mL + -5mL = 0
0 = -1L + -49l + lm2 + -5mL

Simplifying
0 = -1L + -49l + lm2 + -5mL

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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