log(59x)=1+log(9x-7)

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Solution for log(59x)=1+log(9x-7) equation:


Simplifying
log(59x) = 1 + log(9x + -7)

Remove parenthesis around (59x)
glo * 59x = 1 + log(9x + -7)

Reorder the terms for easier multiplication:
59glo * x = 1 + log(9x + -7)

Multiply glo * x
59glox = 1 + log(9x + -7)

Reorder the terms:
59glox = 1 + glo(-7 + 9x)
59glox = 1 + (-7 * glo + 9x * glo)
59glox = 1 + (-7glo + 9glox)

Solving
59glox = 1 + -7glo + 9glox

Solving for variable 'g'.

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

Add '7glo' to each side of the equation.
7glo + 59glox = 1 + -7glo + 7glo + 9glox

Combine like terms: -7glo + 7glo = 0
7glo + 59glox = 1 + 0 + 9glox
7glo + 59glox = 1 + 9glox

Add '-9glox' to each side of the equation.
7glo + 59glox + -9glox = 1 + 9glox + -9glox

Combine like terms: 59glox + -9glox = 50glox
7glo + 50glox = 1 + 9glox + -9glox

Combine like terms: 9glox + -9glox = 0
7glo + 50glox = 1 + 0
7glo + 50glox = 1

Reorder the terms:
-1 + 7glo + 50glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 7glo + 50glox = 0

The solution to this equation could not be determined.

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