log[3](7x-6)-log[3](2)=2x

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Solution for log[3](7x-6)-log[3](2)=2x equation:


Simplifying
log[3](7x + -6) + -1log[3](2) = 2x

Reorder the terms:
glo * 3(-6 + 7x) + -1log[3](2) = 2x

Reorder the terms for easier multiplication:
3glo(-6 + 7x) + -1log[3](2) = 2x
(-6 * 3glo + 7x * 3glo) + -1log[3](2) = 2x
(-18glo + 21glox) + -1log[3](2) = 2x

Reorder the terms for easier multiplication:
-18glo + 21glox + -1 * 3 * 2glo = 2x

Multiply -1 * 3
-18glo + 21glox + -3 * 2glo = 2x

Multiply -3 * 2
-18glo + 21glox + -6glo = 2x

Reorder the terms:
-18glo + -6glo + 21glox = 2x

Combine like terms: -18glo + -6glo = -24glo
-24glo + 21glox = 2x

Solving
-24glo + 21glox = 2x

Solving for variable 'g'.

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

Combine like terms: 2x + -2x = 0
-24glo + 21glox + -2x = 0

The solution to this equation could not be determined.

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