log(6x+8)=log(12)

Simple and best practice solution for log(6x+8)=log(12) 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(6x+8)=log(12) equation: 


Simplifying
log(6x + 8) = log(12)

Reorder the terms:
glo(8 + 6x) = log(12)
(8 * glo + 6x * glo) = log(12)
(8glo + 6glox) = log(12)

Reorder the terms for easier multiplication:
8glo + 6glox = 12glo

Solving
8glo + 6glox = 12glo

Solving for variable 'g'.

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

Add '-12glo' to each side of the equation.
8glo + -12glo + 6glox = 12glo + -12glo

Combine like terms: 8glo + -12glo = -4glo
-4glo + 6glox = 12glo + -12glo

Combine like terms: 12glo + -12glo = 0
-4glo + 6glox = 0

Factor out the Greatest Common Factor (GCF), '2glo'.
2glo(-2 + 3x) = 0

Ignore the factor 2.

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 '(-2 + 3x)' equal to zero and attempt to solve:

Simplifying
-2 + 3x = 0

Solving
-2 + 3x = 0

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

Add '2' to each side of the equation.
-2 + 2 + 3x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 3x = 0 + 2
3x = 0 + 2

Combine like terms: 0 + 2 = 2
3x = 2

Add '-3x' to each side of the equation.
3x + -3x = 2 + -3x

Combine like terms: 3x + -3x = 0
0 = 2 + -3x

Simplifying
0 = 2 + -3x

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:

| -7(8k-8)=-392 | | 720/6 | | 3cos^2x=2 | | 6tons=Pounds | | 720/3 | | Y=-1/2(x-6)(x8) | | 2(3x+2)=4(2x-5) | | 8s-26+5s-15=180 | | 6b+4b=-12+8b | | 25*7+11*3+2*3= | | 2x^2+-8x-384=0 | | 2(x+2)=-2(x+6) | | 44=x(5+6) | | 7x-(2x+5)=36 | | 2w-36=w-12 | | 46*7+87*3+21*3= | | W-12=2w-36 | | 1/3✖️3/4 | | 1/3✖️3/4=3/8 | | 29*7+16*3+8*3= | | 6y-14=9y-5 | | -3(y+2)=7y-8+4(2y+4) | | .027+2-.035x=0 | | 540*10+160*3= | | 3s-36=5s-88 | | .027+2=.035x | | -4x+10y=12 | | 15.5-7.9= | | .66(-12c+6)-7c+2c-6= | | 4m-6/5=-3 | | 16.1+6.1= | | -17+2=2x-2x-3x |

Equations solver categories