log(7)[6x-12]=log(7)[x^2-4]

Simple and best practice solution for log(7)[6x-12]=log(7)[x^2-4] 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(7)[6x-12]=log(7)[x^2-4] equation:


Simplifying
log(7)[6x + -12] = log(7)[x2 + -4]

Reorder the terms:
glo * 7[-12 + 6x] = log(7)[x2 + -4]

Reorder the terms for easier multiplication:
7glo[-12 + 6x] = log(7)[x2 + -4]
[-12 * 7glo + 6x * 7glo] = log(7)[x2 + -4]
[-84glo + 42glox] = log(7)[x2 + -4]

Reorder the terms:
-84glo + 42glox = glo * 7[-4 + x2]

Reorder the terms for easier multiplication:
-84glo + 42glox = 7glo[-4 + x2]
-84glo + 42glox = [-4 * 7glo + x2 * 7glo]
-84glo + 42glox = [-28glo + 7glox2]

Solving
-84glo + 42glox = -28glo + 7glox2

Solving for variable 'g'.

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

Add '28glo' to each side of the equation.
-84glo + 28glo + 42glox = -28glo + 28glo + 7glox2

Combine like terms: -84glo + 28glo = -56glo
-56glo + 42glox = -28glo + 28glo + 7glox2

Combine like terms: -28glo + 28glo = 0
-56glo + 42glox = 0 + 7glox2
-56glo + 42glox = 7glox2

Add '-7glox2' to each side of the equation.
-56glo + 42glox + -7glox2 = 7glox2 + -7glox2

Combine like terms: 7glox2 + -7glox2 = 0
-56glo + 42glox + -7glox2 = 0

Factor out the Greatest Common Factor (GCF), '7glo'.
7glo(-8 + 6x + -1x2) = 0

Factor a trinomial.
7glo((-4 + x)(2 + -1x)) = 0

Ignore the factor 7.

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 '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Add '-1x' to each side of the equation. x + -1x = 4 + -1x Combine like terms: x + -1x = 0 0 = 4 + -1x Simplifying 0 = 4 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Add 'x' to each side of the equation. -1x + x = -2 + x Combine like terms: -1x + x = 0 0 = -2 + x Simplifying 0 = -2 + x 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:

| N=x | | u^2+16u=0 | | 3(3x+6)=2(3x-6) | | (3x+4)+(1x+1)=2(x+2) | | 4(x+2)-2(x+4)=2(x-3) | | 728x+67=738 | | 728x+67=7382 | | 165849u+556=174839 | | 8n-9=1 | | u^2-15u+14=0 | | P(x)=x^3-x^2+x-2 | | 14-3*x=8 | | c(2c-1)=0 | | -2+3+2x=4-(x-9) | | y^2+6y+63=0 | | 2a-18=3a-27 | | 10x/36+x/155=50 | | 2(x-1)+3=4-(x-9) | | 8y-7=2y+13 | | 3a-18=a+27 | | x^2-kx+k= | | 4c=3+3x | | (4x-5w)(7x-6w)= | | 25k^2+31k+6=0 | | cos(2A)=2cos^2(A)-1 | | (fx)=5x^2In(3x) | | (D^2+4D)Y=6 | | 4x^2+9x-69=0 | | x(x+3)+180=0 | | 4r+2=12 | | 8-6p=5 | | j^2+2j-15=0 |

Equations solver categories