Log(x)+log(3)=log(54)

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Solution for Log(x)+log(3)=log(54) equation: 


Simplifying
Log(x) + log(3) = log(54)

Multiply goL * x
goxL + log(3) = log(54)

Reorder the terms for easier multiplication:
goxL + 3glo = log(54)

Reorder the terms:
3glo + goxL = log(54)

Reorder the terms for easier multiplication:
3glo + goxL = 54glo

Solving
3glo + goxL = 54glo

Solving for variable 'g'.

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

Add '-54glo' to each side of the equation.
3glo + -54glo + goxL = 54glo + -54glo

Combine like terms: 3glo + -54glo = -51glo
-51glo + goxL = 54glo + -54glo

Combine like terms: 54glo + -54glo = 0
-51glo + goxL = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(-51l + xL) = 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 '(-51l + xL)' equal to zero and attempt to solve:

Simplifying
-51l + xL = 0

Solving
-51l + xL = 0

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

Add '51l' to each side of the equation.
-51l + 51l + xL = 0 + 51l

Combine like terms: -51l + 51l = 0
0 + xL = 0 + 51l
xL = 0 + 51l
Remove the zero:
xL = 51l

Add '-1xL' to each side of the equation.
xL + -1xL = 51l + -1xL

Combine like terms: xL + -1xL = 0
0 = 51l + -1xL

Simplifying
0 = 51l + -1xL

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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