log[x](2)-1=4log[2](sqrt(x))

Solution for log[x](2)-1=4log[2](sqrt(x)) equation:

Simplifying
log[x](2) + -1 = 4log[2](sqrt(x))

Reorder the terms for easier multiplication:
2glo * x + -1 = 4log[2](sqrt(x))

Multiply glo * x
2glox + -1 = 4log[2](sqrt(x))

Reorder the terms:
-1 + 2glox = 4log[2](sqrt(x))

Multiply qrst * x
-1 + 2glox = 4glo * 2(qrstx)

Reorder the terms for easier multiplication:
-1 + 2glox = 4 * 2glo * qrstx

Multiply 4 * 2
-1 + 2glox = 8glo * qrstx

Multiply glo * qrstx
-1 + 2glox = 8gloqrstx

Solving
-1 + 2glox = 8gloqrstx

Solving for variable 'g'.

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

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

Combine like terms: 8gloqrstx + -8gloqrstx = 0
-1 + -8gloqrstx + 2glox = 0

Add '1' to each side of the equation.
-1 + -8gloqrstx + 1 + 2glox = 0 + 1

Reorder the terms:
-1 + 1 + -8gloqrstx + 2glox = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -8gloqrstx + 2glox = 0 + 1
-8gloqrstx + 2glox = 0 + 1

Combine like terms: 0 + 1 = 1
-8gloqrstx + 2glox = 1

Reorder the terms:
-1 + -8gloqrstx + 2glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -8gloqrstx + 2glox = 0

The solution to this equation could not be determined.