log(45)-2log(3)=log(x)

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Solution for log(45)-2log(3)=log(x) equation: 


Simplifying
log(45) + -2log(3) = log(x)

Reorder the terms for easier multiplication:
45glo + -2log(3) = log(x)

Reorder the terms for easier multiplication:
45glo + -2 * 3glo = log(x)

Multiply -2 * 3
45glo + -6glo = log(x)

Combine like terms: 45glo + -6glo = 39glo
39glo = log(x)

Multiply glo * x
39glo = glox

Solving
39glo = glox

Solving for variable 'g'.

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

Add '-1glox' to each side of the equation.
39glo + -1glox = glox + -1glox

Combine like terms: glox + -1glox = 0
39glo + -1glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(39 + -1x) = 0


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

Simplifying
glo = 0

Solving
glo = 0

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

Simplifying
glo = 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 '(39 + -1x)' equal to zero and attempt to solve:

Simplifying
39 + -1x = 0

Solving
39 + -1x = 0

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

Add '-39' to each side of the equation.
39 + -39 + -1x = 0 + -39

Combine like terms: 39 + -39 = 0
0 + -1x = 0 + -39
-1x = 0 + -39

Combine like terms: 0 + -39 = -39
-1x = -39

Add 'x' to each side of the equation.
-1x + x = -39 + x

Combine like terms: -1x + x = 0
0 = -39 + x

Simplifying
0 = -39 + x

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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