log(5)49=2log(5)x

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Solution for log(5)49=2log(5)x equation: 


Simplifying
log(5) * 49 = 2log(5) * x

Reorder the terms for easier multiplication:
5 * 49glo = 2log(5) * x

Multiply 5 * 49
245glo = 2log(5) * x

Reorder the terms for easier multiplication:
245glo = 2 * 5glo * x

Multiply 2 * 5
245glo = 10glo * x

Multiply glo * x
245glo = 10glox

Solving
245glo = 10glox

Solving for variable 'g'.

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

Add '-10glox' to each side of the equation.
245glo + -10glox = 10glox + -10glox

Combine like terms: 10glox + -10glox = 0
245glo + -10glox = 0

Factor out the Greatest Common Factor (GCF), '5glo'.
5glo(49 + -2x) = 0

Ignore the factor 5.

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 '(49 + -2x)' equal to zero and attempt to solve:

Simplifying
49 + -2x = 0

Solving
49 + -2x = 0

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

Add '-49' to each side of the equation.
49 + -49 + -2x = 0 + -49

Combine like terms: 49 + -49 = 0
0 + -2x = 0 + -49
-2x = 0 + -49

Combine like terms: 0 + -49 = -49
-2x = -49

Add '2x' to each side of the equation.
-2x + 2x = -49 + 2x

Combine like terms: -2x + 2x = 0
0 = -49 + 2x

Simplifying
0 = -49 + 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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