log[4]5x^2-log[4]5=4

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Solution for log[4]5x^2-log[4]5=4 equation:


Simplifying
log[4] * 5x2 + -1log[4] * 5 = 4

Reorder the terms for easier multiplication:
4 * 5glo * x2 + -1log[4] * 5 = 4

Multiply 4 * 5
20glo * x2 + -1log[4] * 5 = 4

Multiply glo * x2
20glox2 + -1log[4] * 5 = 4

Reorder the terms for easier multiplication:
20glox2 + -1 * 4 * 5glo = 4

Multiply -1 * 4
20glox2 + -4 * 5glo = 4

Multiply -4 * 5
20glox2 + -20glo = 4

Reorder the terms:
-20glo + 20glox2 = 4

Solving
-20glo + 20glox2 = 4

Solving for variable 'g'.

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

Reorder the terms:
-4 + -20glo + 20glox2 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + -20glo + 20glox2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-1 + -5glo + 5glox2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-1 + -5glo + 5glox2)' equal to zero and attempt to solve: Simplifying -1 + -5glo + 5glox2 = 0 Solving -1 + -5glo + 5glox2 = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -5glo + 1 + 5glox2 = 0 + 1 Reorder the terms: -1 + 1 + -5glo + 5glox2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5glo + 5glox2 = 0 + 1 -5glo + 5glox2 = 0 + 1 Combine like terms: 0 + 1 = 1 -5glo + 5glox2 = 1 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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