log(3)x+log(3)x+4=log(3)x+10

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Solution for log(3)x+log(3)x+4=log(3)x+10 equation:


Simplifying
log(3) * x + log(3) * x + 4 = log(3) * x + 10

Reorder the terms for easier multiplication:
3glo * x + log(3) * x + 4 = log(3) * x + 10

Multiply glo * x
3glox + log(3) * x + 4 = log(3) * x + 10

Reorder the terms for easier multiplication:
3glox + 3glo * x + 4 = log(3) * x + 10

Multiply glo * x
3glox + 3glox + 4 = log(3) * x + 10

Reorder the terms:
4 + 3glox + 3glox = log(3) * x + 10

Combine like terms: 3glox + 3glox = 6glox
4 + 6glox = log(3) * x + 10

Reorder the terms for easier multiplication:
4 + 6glox = 3glo * x + 10

Multiply glo * x
4 + 6glox = 3glox + 10

Reorder the terms:
4 + 6glox = 10 + 3glox

Solving
4 + 6glox = 10 + 3glox

Solving for variable 'g'.

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

Add '-3glox' to each side of the equation.
4 + 6glox + -3glox = 10 + 3glox + -3glox

Combine like terms: 6glox + -3glox = 3glox
4 + 3glox = 10 + 3glox + -3glox

Combine like terms: 3glox + -3glox = 0
4 + 3glox = 10 + 0
4 + 3glox = 10

Add '-4' to each side of the equation.
4 + -4 + 3glox = 10 + -4

Combine like terms: 4 + -4 = 0
0 + 3glox = 10 + -4
3glox = 10 + -4

Combine like terms: 10 + -4 = 6
3glox = 6

Divide each side by '3lox'.
g = 2l-1o-1x-1

Simplifying
g = 2l-1o-1x-1

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