log(4)5x=log(4)35

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Solution for log(4)5x=log(4)35 equation: 


Simplifying
log(4) * 5x = log(4) * 35

Reorder the terms for easier multiplication:
4 * 5glo * x = log(4) * 35

Multiply 4 * 5
20glo * x = log(4) * 35

Multiply glo * x
20glox = log(4) * 35

Reorder the terms for easier multiplication:
20glox = 4 * 35glo

Multiply 4 * 35
20glox = 140glo

Solving
20glox = 140glo

Solving for variable 'g'.

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

Add '-140glo' to each side of the equation.
-140glo + 20glox = 140glo + -140glo

Combine like terms: 140glo + -140glo = 0
-140glo + 20glox = 0

Factor out the Greatest Common Factor (GCF), '20glo'.
20glo(-7 + x) = 0

Ignore the factor 20.

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 '(-7 + x)' equal to zero and attempt to solve:

Simplifying
-7 + x = 0

Solving
-7 + x = 0

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

Add '7' to each side of the equation.
-7 + 7 + x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + x = 0 + 7
x = 0 + 7

Combine like terms: 0 + 7 = 7
x = 7

Add '-1x' to each side of the equation.
x + -1x = 7 + -1x

Combine like terms: x + -1x = 0
0 = 7 + -1x

Simplifying
0 = 7 + -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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