log(10-4x)=log(10x-3x)

Simple and best practice solution for log(10-4x)=log(10x-3x) 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(10-4x)=log(10x-3x) equation: 


Simplifying
log(10 + -4x) = log(10x + -3x)
(10 * glo + -4x * glo) = log(10x + -3x)
(10glo + -4glox) = log(10x + -3x)

Combine like terms: 10x + -3x = 7x
10glo + -4glox = glo(7x)

Remove parenthesis around (7x)
10glo + -4glox = glo * 7x

Reorder the terms for easier multiplication:
10glo + -4glox = 7glo * x

Multiply glo * x
10glo + -4glox = 7glox

Solving
10glo + -4glox = 7glox

Solving for variable 'g'.

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

Add '-7glox' to each side of the equation.
10glo + -4glox + -7glox = 7glox + -7glox

Combine like terms: -4glox + -7glox = -11glox
10glo + -11glox = 7glox + -7glox

Combine like terms: 7glox + -7glox = 0
10glo + -11glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(10 + -11x) = 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 '(10 + -11x)' equal to zero and attempt to solve:

Simplifying
10 + -11x = 0

Solving
10 + -11x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -11x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -11x = 0 + -10
-11x = 0 + -10

Combine like terms: 0 + -10 = -10
-11x = -10

Add '11x' to each side of the equation.
-11x + 11x = -10 + 11x

Combine like terms: -11x + 11x = 0
0 = -10 + 11x

Simplifying
0 = -10 + 11x

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:

| 1/2*2/67 | | 4P=T-5R+6forR | | 7x-35=28+4x | | 4x(2x-1)=7 | | 5x+2-7(x+1)=7x+2 | | 3+6x=27+6 | | -63-x=-7x+27 | | x^2+5y+4=0 | | 285=31.4159h+314.159 | | 3x+6x=27+6 | | 7x+6-5(x+1)=9x+5 | | 7x^2+14x-28=0 | | 8x-0.4=0 | | 53.4=2*3.14*r | | 360=n-n | | x+.5y=72 | | -3x+6=-20x+23 | | 0.35x+1.5=-0.3 | | 69.8=10.7*2+2x | | -3x+6=20x+23 | | 69.8=10.7/2+2/x | | 5(3x+5)=14x+1 | | 15g+7=100 | | -3x+32-7x=-2(5x-10) | | 4m^2-20m=-16 | | 3(x+5)(2x-8)=0 | | x^3+7x^2-64x-488=0 | | 2x^3+20x^2+42=0 | | 5(3c-1)-2=13c+9 | | x^2+8p+15=0 | | 15d/15 | | 1+-3+-8= |

Equations solver categories