3log(2x-1)=5logx

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Solution for 3log(2x-1)=5logx equation: 


Simplifying
3log(2x + -1) = 5logx

Reorder the terms:
3glo(-1 + 2x) = 5logx
(-1 * 3glo + 2x * 3glo) = 5logx
(-3glo + 6glox) = 5logx

Solving
-3glo + 6glox = 5glox

Solving for variable 'g'.

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

Add '-5glox' to each side of the equation.
-3glo + 6glox + -5glox = 5glox + -5glox

Combine like terms: 6glox + -5glox = 1glox
-3glo + 1glox = 5glox + -5glox

Combine like terms: 5glox + -5glox = 0
-3glo + 1glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-3 + 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 '(-3 + x)' equal to zero and attempt to solve:

Simplifying
-3 + x = 0

Solving
-3 + x = 0

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

Add '3' to each side of the equation.
-3 + 3 + x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + x = 0 + 3
x = 0 + 3

Combine like terms: 0 + 3 = 3
x = 3

Add '-1x' to each side of the equation.
x + -1x = 3 + -1x

Combine like terms: x + -1x = 0
0 = 3 + -1x

Simplifying
0 = 3 + -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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