log(5x-1)-log(x-1)=1

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Solution for log(5x-1)-log(x-1)=1 equation:


Simplifying
log(5x + -1) + -1log(x + -1) = 1

Reorder the terms:
glo(-1 + 5x) + -1log(x + -1) = 1
(-1 * glo + 5x * glo) + -1log(x + -1) = 1
(-1glo + 5glox) + -1log(x + -1) = 1

Reorder the terms:
-1glo + 5glox + -1glo(-1 + x) = 1
-1glo + 5glox + (-1 * -1glo + x * -1glo) = 1
-1glo + 5glox + (1glo + -1glox) = 1

Reorder the terms:
-1glo + 1glo + 5glox + -1glox = 1

Combine like terms: -1glo + 1glo = 0
0 + 5glox + -1glox = 1
5glox + -1glox = 1

Combine like terms: 5glox + -1glox = 4glox
4glox = 1

Solving
4glox = 1

Solving for variable 'g'.

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

Divide each side by '4lox'.
g = 0.25l-1o-1x-1

Simplifying
g = 0.25l-1o-1x-1

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