9log*(4x-7)=3log*5

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Solution for 9log*(4x-7)=3log*5 equation: 


Simplifying
9log(4x + -7) = 3log * 5

Reorder the terms:
9glo(-7 + 4x) = 3log * 5
(-7 * 9glo + 4x * 9glo) = 3log * 5
(-63glo + 36glox) = 3log * 5

Reorder the terms for easier multiplication:
-63glo + 36glox = 3 * 5glo

Multiply 3 * 5
-63glo + 36glox = 15glo

Solving
-63glo + 36glox = 15glo

Solving for variable 'g'.

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

Add '-15glo' to each side of the equation.
-63glo + -15glo + 36glox = 15glo + -15glo

Combine like terms: -63glo + -15glo = -78glo
-78glo + 36glox = 15glo + -15glo

Combine like terms: 15glo + -15glo = 0
-78glo + 36glox = 0

Factor out the Greatest Common Factor (GCF), '6glo'.
6glo(-13 + 6x) = 0

Ignore the factor 6.

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 '(-13 + 6x)' equal to zero and attempt to solve:

Simplifying
-13 + 6x = 0

Solving
-13 + 6x = 0

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

Add '13' to each side of the equation.
-13 + 13 + 6x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 6x = 0 + 13
6x = 0 + 13

Combine like terms: 0 + 13 = 13
6x = 13

Add '-6x' to each side of the equation.
6x + -6x = 13 + -6x

Combine like terms: 6x + -6x = 0
0 = 13 + -6x

Simplifying
0 = 13 + -6x

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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