log(x)-log(6)=(2)log(4)

Simple and best practice solution for log(x)-log(6)=(2)log(4) 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(x)-log(6)=(2)log(4) equation: 


Simplifying
log(x) + -1log(6) = (2) * log(4)

Multiply glo * x
glox + -1log(6) = (2) * log(4)

Reorder the terms for easier multiplication:
glox + -1 * 6glo = (2) * log(4)

Multiply -1 * 6
glox + -6glo = (2) * log(4)

Reorder the terms:
-6glo + glox = (2) * log(4)

Reorder the terms for easier multiplication:
-6glo + glox = 2 * 4glo

Multiply 2 * 4
-6glo + glox = 8glo

Solving
-6glo + glox = 8glo

Solving for variable 'g'.

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

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

Combine like terms: -6glo + -8glo = -14glo
-14glo + glox = 8glo + -8glo

Combine like terms: 8glo + -8glo = 0
-14glo + glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-14 + x) = 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 '(-14 + x)' equal to zero and attempt to solve:

Simplifying
-14 + x = 0

Solving
-14 + x = 0

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

Add '14' to each side of the equation.
-14 + 14 + x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + x = 0 + 14
x = 0 + 14

Combine like terms: 0 + 14 = 14
x = 14

Add '-1x' to each side of the equation.
x + -1x = 14 + -1x

Combine like terms: x + -1x = 0
0 = 14 + -1x

Simplifying
0 = 14 + -1x

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:

| -5b-7-7=-14 | | 9m-1=6m+5 | | 9x^2/3=27 | | ((6a^3b)-(24ab^4))/((8b^3)-(2a^2)) | | -8g-10+10g=10+4g | | -24=-6x-6x | | 4x-3+1=99 | | 30/48 | | 0=900-10x | | 5c-2c=15 | | 15=4.3n(n-4) | | (4x-5)(2x+6)= | | 8-2x/12=2 | | 38+2d=128 | | -1=5n-6n | | 2x=72+x | | 8h-10=10h+4 | | x+8+8=24 | | 3(2x-1)=2(2x+2) | | 145+145+4x+110=x | | -n-5-2=0 | | 36=x | | 10m=7+9m | | x^2+18x+23=22 | | 8x+18-3x=-12 | | 13x-8=3x+67 | | -7-(-31)=x/12 | | 3x-6=70 | | x+3y=7 | | -1+10n=9+9n | | log(2)(x+5)-log(2)(x-2)=3 | | x=3y+5z-12 |

Equations solver categories