Logx^2=log(3x+10)

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Solution for Logx^2=log(3x+10) equation: 


Simplifying
Logx2 = log(3x + 10)

Reorder the terms:
gox2L = glo(10 + 3x)
gox2L = (10 * glo + 3x * glo)
gox2L = (10glo + 3glox)

Solving
gox2L = 10glo + 3glox

Solving for variable 'g'.

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

Add '-10glo' to each side of the equation.
-10glo + gox2L = 10glo + -10glo + 3glox

Combine like terms: 10glo + -10glo = 0
-10glo + gox2L = 0 + 3glox
-10glo + gox2L = 3glox

Add '-3glox' to each side of the equation.
-10glo + -3glox + gox2L = 3glox + -3glox

Combine like terms: 3glox + -3glox = 0
-10glo + -3glox + gox2L = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(-10l + -3lx + x2L) = 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 '(-10l + -3lx + x2L)' equal to zero and attempt to solve:

Simplifying
-10l + -3lx + x2L = 0

Solving
-10l + -3lx + x2L = 0

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

Add '10l' to each side of the equation.
-10l + -3lx + 10l + x2L = 0 + 10l

Reorder the terms:
-10l + 10l + -3lx + x2L = 0 + 10l

Combine like terms: -10l + 10l = 0
0 + -3lx + x2L = 0 + 10l
-3lx + x2L = 0 + 10l
Remove the zero:
-3lx + x2L = 10l

Add '3lx' to each side of the equation.
-3lx + 3lx + x2L = 10l + 3lx

Combine like terms: -3lx + 3lx = 0
0 + x2L = 10l + 3lx
x2L = 10l + 3lx

Add '-1x2L' to each side of the equation.
x2L + -1x2L = 10l + 3lx + -1x2L

Combine like terms: x2L + -1x2L = 0
0 = 10l + 3lx + -1x2L

Simplifying
0 = 10l + 3lx + -1x2L

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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