5Log(x)+Log(3)=Log(96)

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Solution for 5Log(x)+Log(3)=Log(96) equation: 


Simplifying
5Log(x) + Log(3) = Log(96)

Multiply goL * x
5goxL + Log(3) = Log(96)

Reorder the terms for easier multiplication:
5goxL + 3goL = Log(96)

Reorder the terms:
3goL + 5goxL = Log(96)

Reorder the terms for easier multiplication:
3goL + 5goxL = 96goL

Solving
3goL + 5goxL = 96goL

Solving for variable 'g'.

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

Add '-96goL' to each side of the equation.
3goL + -96goL + 5goxL = 96goL + -96goL

Combine like terms: 3goL + -96goL = -93goL
-93goL + 5goxL = 96goL + -96goL

Combine like terms: 96goL + -96goL = 0
-93goL + 5goxL = 0

Factor out the Greatest Common Factor (GCF), 'goL'.
goL(-93 + 5x) = 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 '(-93 + 5x)' equal to zero and attempt to solve:

Simplifying
-93 + 5x = 0

Solving
-93 + 5x = 0

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

Add '93' to each side of the equation.
-93 + 93 + 5x = 0 + 93

Combine like terms: -93 + 93 = 0
0 + 5x = 0 + 93
5x = 0 + 93

Combine like terms: 0 + 93 = 93
5x = 93

Add '-5x' to each side of the equation.
5x + -5x = 93 + -5x

Combine like terms: 5x + -5x = 0
0 = 93 + -5x

Simplifying
0 = 93 + -5x

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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