Log(7x-10)=2logx

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Solution for Log(7x-10)=2logx equation: 


Simplifying
Log(7x + -10) = 2logx

Reorder the terms:
goL(-10 + 7x) = 2logx
(-10 * goL + 7x * goL) = 2logx
(-10goL + 7goxL) = 2logx

Solving
-10goL + 7goxL = 2glox

Solving for variable 'g'.

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

Add '-2glox' to each side of the equation.
-10goL + -2glox + 7goxL = 2glox + -2glox

Reorder the terms:
-2glox + -10goL + 7goxL = 2glox + -2glox

Combine like terms: 2glox + -2glox = 0
-2glox + -10goL + 7goxL = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(-2lx + -10L + 7xL) = 0


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

Simplifying
go = 0

Solving
go = 0

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

Simplifying
go = 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 '(-2lx + -10L + 7xL)' equal to zero and attempt to solve:

Simplifying
-2lx + -10L + 7xL = 0

Reorder the terms:
-10L + -2lx + 7xL = 0

Solving
-10L + -2lx + 7xL = 0

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

Add '10L' to each side of the equation.
-10L + -2lx + 10L + 7xL = 0 + 10L

Reorder the terms:
-10L + 10L + -2lx + 7xL = 0 + 10L

Combine like terms: -10L + 10L = 0
0 + -2lx + 7xL = 0 + 10L
-2lx + 7xL = 0 + 10L
Remove the zero:
-2lx + 7xL = 10L

Add '2lx' to each side of the equation.
-2lx + 2lx + 7xL = 10L + 2lx

Combine like terms: -2lx + 2lx = 0
0 + 7xL = 10L + 2lx
7xL = 10L + 2lx

Add '-7xL' to each side of the equation.
7xL + -7xL = 10L + 2lx + -7xL

Combine like terms: 7xL + -7xL = 0
0 = 10L + 2lx + -7xL

Simplifying
0 = 10L + 2lx + -7xL

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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