logx+3=logy-5logz

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Solution for logx+3=logy-5logz equation:


Simplifying
logx + 3 = logy + -5logz

Reorder the terms:
3 + glox = logy + -5logz

Solving
3 + glox = gloy + -5gloz

Solving for variable 'g'.

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

Add '-1gloy' to each side of the equation.
3 + glox + -1gloy = gloy + -1gloy + -5gloz

Combine like terms: gloy + -1gloy = 0
3 + glox + -1gloy = 0 + -5gloz
3 + glox + -1gloy = -5gloz

Add '5gloz' to each side of the equation.
3 + glox + -1gloy + 5gloz = -5gloz + 5gloz

Combine like terms: -5gloz + 5gloz = 0
3 + glox + -1gloy + 5gloz = 0

Add '-3' to each side of the equation.
3 + glox + -1gloy + -3 + 5gloz = 0 + -3

Reorder the terms:
3 + -3 + glox + -1gloy + 5gloz = 0 + -3

Combine like terms: 3 + -3 = 0
0 + glox + -1gloy + 5gloz = 0 + -3
glox + -1gloy + 5gloz = 0 + -3

Combine like terms: 0 + -3 = -3
glox + -1gloy + 5gloz = -3

Reorder the terms:
3 + glox + -1gloy + 5gloz = -3 + 3

Combine like terms: -3 + 3 = 0
3 + glox + -1gloy + 5gloz = 0

The solution to this equation could not be determined.

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