log(9x+1)=log(8x+2)

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Solution for log(9x+1)=log(8x+2) equation: 


Simplifying
log(9x + 1) = log(8x + 2)

Reorder the terms:
glo(1 + 9x) = log(8x + 2)
(1 * glo + 9x * glo) = log(8x + 2)
(1glo + 9glox) = log(8x + 2)

Reorder the terms:
1glo + 9glox = glo(2 + 8x)
1glo + 9glox = (2 * glo + 8x * glo)
1glo + 9glox = (2glo + 8glox)

Solving
1glo + 9glox = 2glo + 8glox

Solving for variable 'g'.

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

Add '-2glo' to each side of the equation.
1glo + -2glo + 9glox = 2glo + -2glo + 8glox

Combine like terms: 1glo + -2glo = -1glo
-1glo + 9glox = 2glo + -2glo + 8glox

Combine like terms: 2glo + -2glo = 0
-1glo + 9glox = 0 + 8glox
-1glo + 9glox = 8glox

Add '-8glox' to each side of the equation.
-1glo + 9glox + -8glox = 8glox + -8glox

Combine like terms: 9glox + -8glox = 1glox
-1glo + 1glox = 8glox + -8glox

Combine like terms: 8glox + -8glox = 0
-1glo + 1glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-1 + x) = 0


Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve:

Simplifying
glo = 0

Solving
glo = 0

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

Simplifying
glo = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-1 + x)' equal to zero and attempt to solve:

Simplifying
-1 + x = 0

Solving
-1 + x = 0

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

Add '1' to each side of the equation.
-1 + 1 + x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + x = 0 + 1
x = 0 + 1

Combine like terms: 0 + 1 = 1
x = 1

Add '-1x' to each side of the equation.
x + -1x = 1 + -1x

Combine like terms: x + -1x = 0
0 = 1 + -1x

Simplifying
0 = 1 + -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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