1+log(8x)=22-2logx

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Solution for 1+log(8x)=22-2logx equation:


Simplifying
1 + log(8x) = 22 + -2logx

Remove parenthesis around (8x)
1 + glo * 8x = 22 + -2logx

Reorder the terms for easier multiplication:
1 + 8glo * x = 22 + -2logx

Multiply glo * x
1 + 8glox = 22 + -2logx

Solving
1 + 8glox = 22 + -2glox

Solving for variable 'g'.

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

Add '2glox' to each side of the equation.
1 + 8glox + 2glox = 22 + -2glox + 2glox

Combine like terms: 8glox + 2glox = 10glox
1 + 10glox = 22 + -2glox + 2glox

Combine like terms: -2glox + 2glox = 0
1 + 10glox = 22 + 0
1 + 10glox = 22

Add '-1' to each side of the equation.
1 + -1 + 10glox = 22 + -1

Combine like terms: 1 + -1 = 0
0 + 10glox = 22 + -1
10glox = 22 + -1

Combine like terms: 22 + -1 = 21
10glox = 21

Divide each side by '10lox'.
g = 2.1l-1o-1x-1

Simplifying
g = 2.1l-1o-1x-1

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