2log(x+5)=log(9)

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


Simplifying
2log(x + 5) = log(9)

Reorder the terms:
2glo(5 + x) = log(9)
(5 * 2glo + x * 2glo) = log(9)
(10glo + 2glox) = log(9)

Reorder the terms for easier multiplication:
10glo + 2glox = 9glo

Solving
10glo + 2glox = 9glo

Solving for variable 'g'.

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

Add '-9glo' to each side of the equation.
10glo + -9glo + 2glox = 9glo + -9glo

Combine like terms: 10glo + -9glo = 1glo
1glo + 2glox = 9glo + -9glo

Combine like terms: 9glo + -9glo = 0
1glo + 2glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(1 + 2x) = 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 '(1 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Add '-2x' to each side of the equation.
2x + -2x = -1 + -2x

Combine like terms: 2x + -2x = 0
0 = -1 + -2x

Simplifying
0 = -1 + -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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