log^9(6-3w)=log^9(-2w)

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Solution for log^9(6-3w)=log^9(-2w) equation:


Simplifying
log9(6 + -3w) = log9(-2w)
(6 * g9lo + -3w * g9lo) = log9(-2w)
(6g9lo + -3g9low) = log9(-2w)

Remove parenthesis around (-2w)
6g9lo + -3g9low = g9lo * -2w

Reorder the terms for easier multiplication:
6g9lo + -3g9low = -2g9lo * w

Multiply g9lo * w
6g9lo + -3g9low = -2g9low

Solving
6g9lo + -3g9low = -2g9low

Solving for variable 'g'.

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

Add '2g9low' to each side of the equation.
6g9lo + -3g9low + 2g9low = -2g9low + 2g9low

Combine like terms: -3g9low + 2g9low = -1g9low
6g9lo + -1g9low = -2g9low + 2g9low

Combine like terms: -2g9low + 2g9low = 0
6g9lo + -1g9low = 0

Factor out the Greatest Common Factor (GCF), 'g9lo'.
g9lo(6 + -1w) = 0

Subproblem 1

Set the factor 'g9lo' equal to zero and attempt to solve: Simplifying g9lo = 0 Solving g9lo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g9lo = 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 '(6 + -1w)' equal to zero and attempt to solve: Simplifying 6 + -1w = 0 Solving 6 + -1w = 0 Move all terms containing g to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1w = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1w = 0 + -6 -1w = 0 + -6 Combine like terms: 0 + -6 = -6 -1w = -6 Add 'w' to each side of the equation. -1w + w = -6 + w Combine like terms: -1w + w = 0 0 = -6 + w Simplifying 0 = -6 + w 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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