Log^12(4x-2)=log^12(x+10)

Simple and best practice solution for Log^12(4x-2)=log^12(x+10) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for Log^12(4x-2)=log^12(x+10) equation: 


Simplifying
Log12(4x + -2) = log12(x + 10)

Reorder the terms:
g12oL(-2 + 4x) = log12(x + 10)
(-2 * g12oL + 4x * g12oL) = log12(x + 10)
(-2g12oL + 4g12oxL) = log12(x + 10)

Reorder the terms:
-2g12oL + 4g12oxL = g12lo(10 + x)
-2g12oL + 4g12oxL = (10 * g12lo + x * g12lo)
-2g12oL + 4g12oxL = (10g12lo + g12lox)

Solving
-2g12oL + 4g12oxL = 10g12lo + g12lox

Solving for variable 'g'.

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

Add '-10g12lo' to each side of the equation.
-2g12oL + -10g12lo + 4g12oxL = 10g12lo + -10g12lo + g12lox

Reorder the terms:
-10g12lo + -2g12oL + 4g12oxL = 10g12lo + -10g12lo + g12lox

Combine like terms: 10g12lo + -10g12lo = 0
-10g12lo + -2g12oL + 4g12oxL = 0 + g12lox
-10g12lo + -2g12oL + 4g12oxL = g12lox

Add '-1g12lox' to each side of the equation.
-10g12lo + -2g12oL + -1g12lox + 4g12oxL = g12lox + -1g12lox

Reorder the terms:
-10g12lo + -1g12lox + -2g12oL + 4g12oxL = g12lox + -1g12lox

Combine like terms: g12lox + -1g12lox = 0
-10g12lo + -1g12lox + -2g12oL + 4g12oxL = 0

Factor out the Greatest Common Factor (GCF), 'g12o'.
g12o(-10l + -1lx + -2L + 4xL) = 0


Subproblem 1
Set the factor 'g12o' equal to zero and attempt to solve:

Simplifying
g12o = 0

Solving
g12o = 0

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

Simplifying
g12o = 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 + -1lx + -2L + 4xL)' equal to zero and attempt to solve:

Simplifying
-10l + -1lx + -2L + 4xL = 0

Reorder the terms:
-2L + -10l + -1lx + 4xL = 0

Solving
-2L + -10l + -1lx + 4xL = 0

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

Add '2L' to each side of the equation.
-2L + -10l + -1lx + 2L + 4xL = 0 + 2L

Reorder the terms:
-2L + 2L + -10l + -1lx + 4xL = 0 + 2L

Combine like terms: -2L + 2L = 0
0 + -10l + -1lx + 4xL = 0 + 2L
-10l + -1lx + 4xL = 0 + 2L
Remove the zero:
-10l + -1lx + 4xL = 2L

Add '10l' to each side of the equation.
-10l + -1lx + 10l + 4xL = 2L + 10l

Reorder the terms:
-10l + 10l + -1lx + 4xL = 2L + 10l

Combine like terms: -10l + 10l = 0
0 + -1lx + 4xL = 2L + 10l
-1lx + 4xL = 2L + 10l

Add 'lx' to each side of the equation.
-1lx + lx + 4xL = 2L + 10l + lx

Combine like terms: -1lx + lx = 0
0 + 4xL = 2L + 10l + lx
4xL = 2L + 10l + lx

Add '-4xL' to each side of the equation.
4xL + -4xL = 2L + 10l + lx + -4xL

Combine like terms: 4xL + -4xL = 0
0 = 2L + 10l + lx + -4xL

Simplifying
0 = 2L + 10l + lx + -4xL

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.

See similar equations:

| 3x^2-41x+110= | | x^2-6.5x+8=0 | | 12=3(m-3) | | -4-4-y=24 | | 12=(5-3)/-3 | | 12=(45-3)/3 | | -8-y=24 | | 2*6=45-3/3 | | 156/171 | | 5x(9x-3)=4 | | x^2+44x-215=0 | | 2(x+1)=(8x-9) | | y/5=19 | | 1020/1820= | | 28=4(n-3) | | 4x^4+2x^3-8x^2+x+1=0 | | 4x^3+6x^2-2x-1=0 | | 12-39=6+15 | | 4a+2b=-10 | | -2t=-24 | | 2u+21= | | f(x)=3x^4+4x^3-12x^2 | | sin(x)=-0.95 | | 2y-8=3y-6 | | 5k+13+6k=29-6k-8 | | 0.95x+0.1=0.05x+1 | | 13/60:7/15 | | 14x^2-28x=42 | | 0.07-0.002= | | 4t^5(t-t^2+5t^3)= | | 6/12=x/24 | | 7z-21=-11+5z |

Equations solver categories