2logx=log(2x-10)+1

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Solution for 2logx=log(2x-10)+1 equation:


Simplifying
2logx = log(2x + -10) + 1

Reorder the terms:
2glox = glo(-10 + 2x) + 1
2glox = (-10 * glo + 2x * glo) + 1
2glox = (-10glo + 2glox) + 1

Reorder the terms:
2glox = 1 + -10glo + 2glox

Add '-2glox' to each side of the equation.
2glox + -2glox = 1 + -10glo + 2glox + -2glox

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

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

Solving
0 = 1 + -10glo

Solving for variable 'g'.

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

Add '10glo' to each side of the equation.
0 + 10glo = 1 + -10glo + 10glo
Remove the zero:
10glo = 1 + -10glo + 10glo

Combine like terms: -10glo + 10glo = 0
10glo = 1 + 0
10glo = 1

Divide each side by '10lo'.
g = 0.1l-1o-1

Simplifying
g = 0.1l-1o-1

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