log(4)(x+2)=log(4)(55)

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Solution for log(4)(x+2)=log(4)(55) equation: 


Simplifying
log(4)(x + 2) = log(4)(55)

Reorder the terms:
glo * 4(2 + x) = log(4)(55)

Reorder the terms for easier multiplication:
4glo(2 + x) = log(4)(55)
(2 * 4glo + x * 4glo) = log(4)(55)
(8glo + 4glox) = log(4)(55)

Reorder the terms for easier multiplication:
8glo + 4glox = 4 * 55glo

Multiply 4 * 55
8glo + 4glox = 220glo

Solving
8glo + 4glox = 220glo

Solving for variable 'g'.

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

Add '-220glo' to each side of the equation.
8glo + -220glo + 4glox = 220glo + -220glo

Combine like terms: 8glo + -220glo = -212glo
-212glo + 4glox = 220glo + -220glo

Combine like terms: 220glo + -220glo = 0
-212glo + 4glox = 0

Factor out the Greatest Common Factor (GCF), '4glo'.
4glo(-53 + x) = 0

Ignore the factor 4.

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 '(-53 + x)' equal to zero and attempt to solve:

Simplifying
-53 + x = 0

Solving
-53 + x = 0

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

Add '53' to each side of the equation.
-53 + 53 + x = 0 + 53

Combine like terms: -53 + 53 = 0
0 + x = 0 + 53
x = 0 + 53

Combine like terms: 0 + 53 = 53
x = 53

Add '-1x' to each side of the equation.
x + -1x = 53 + -1x

Combine like terms: x + -1x = 0
0 = 53 + -1x

Simplifying
0 = 53 + -1x

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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