4log(x)=-log(16)

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Solution for 4log(x)=-log(16) equation:


Simplifying
4log(x) = -1log(16)

Multiply glo * x
4glox = -1log(16)

Reorder the terms for easier multiplication:
4glox = -1 * 16glo

Multiply -1 * 16
4glox = -16glo

Solving
4glox = -16glo

Solving for variable 'g'.

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

Add '16glo' to each side of the equation.
16glo + 4glox = -16glo + 16glo

Combine like terms: -16glo + 16glo = 0
16glo + 4glox = 0

Factor out the Greatest Common Factor (GCF), '4glo'.
4glo(4 + x) = 0

Ignore the factor 4.

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 '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Add '-1x' to each side of the equation. x + -1x = -4 + -1x Combine like terms: x + -1x = 0 0 = -4 + -1x Simplifying 0 = -4 + -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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