logx=log[64]-6log[4]

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Solution for logx=log[64]-6log[4] equation: 


Simplifying
logx = log[64] + -6log[4]

Reorder the terms for easier multiplication:
glox = 64glo + -6log[4]

Reorder the terms for easier multiplication:
glox = 64glo + -6 * 4glo

Multiply -6 * 4
glox = 64glo + -24glo

Combine like terms: 64glo + -24glo = 40glo
glox = 40glo

Solving
glox = 40glo

Solving for variable 'g'.

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

Add '-40glo' to each side of the equation.
-40glo + glox = 40glo + -40glo

Combine like terms: 40glo + -40glo = 0
-40glo + glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-40 + x) = 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 '(-40 + x)' equal to zero and attempt to solve:

Simplifying
-40 + x = 0

Solving
-40 + x = 0

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

Add '40' to each side of the equation.
-40 + 40 + x = 0 + 40

Combine like terms: -40 + 40 = 0
0 + x = 0 + 40
x = 0 + 40

Combine like terms: 0 + 40 = 40
x = 40

Add '-1x' to each side of the equation.
x + -1x = 40 + -1x

Combine like terms: x + -1x = 0
0 = 40 + -1x

Simplifying
0 = 40 + -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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