Log(9)(12-4x)=Log(9)(x^2-20)

Simple and best practice solution for Log(9)(12-4x)=Log(9)(x^2-20) 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(9)(12-4x)=Log(9)(x^2-20) equation: 


Simplifying
Log(9)(12 + -4x) = Log(9)(x2 + -20)

Reorder the terms for easier multiplication:
9goL(12 + -4x) = Log(9)(x2 + -20)
(12 * 9goL + -4x * 9goL) = Log(9)(x2 + -20)
(108goL + -36goxL) = Log(9)(x2 + -20)

Reorder the terms:
108goL + -36goxL = goL * 9(-20 + x2)

Reorder the terms for easier multiplication:
108goL + -36goxL = 9goL(-20 + x2)
108goL + -36goxL = (-20 * 9goL + x2 * 9goL)
108goL + -36goxL = (-180goL + 9gox2L)

Solving
108goL + -36goxL = -180goL + 9gox2L

Solving for variable 'g'.

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

Add '180goL' to each side of the equation.
108goL + 180goL + -36goxL = -180goL + 180goL + 9gox2L

Combine like terms: 108goL + 180goL = 288goL
288goL + -36goxL = -180goL + 180goL + 9gox2L

Combine like terms: -180goL + 180goL = 0
288goL + -36goxL = 0 + 9gox2L
288goL + -36goxL = 9gox2L

Add '-9gox2L' to each side of the equation.
288goL + -36goxL + -9gox2L = 9gox2L + -9gox2L

Combine like terms: 9gox2L + -9gox2L = 0
288goL + -36goxL + -9gox2L = 0

Factor out the Greatest Common Factor (GCF), '9goL'.
9goL(32 + -4x + -1x2) = 0

Factor a trinomial.
9goL((4 + -1x)(8 + x)) = 0

Ignore the factor 9.

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

Simplifying
goL = 0

Solving
goL = 0

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

Simplifying
goL = 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 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Add 'x' to each side of the equation.
-1x + x = -4 + x

Combine like terms: -1x + x = 0
0 = -4 + x

Simplifying
0 = -4 + x

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 '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Add '-1x' to each side of the equation.
x + -1x = -8 + -1x

Combine like terms: x + -1x = 0
0 = -8 + -1x

Simplifying
0 = -8 + -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:

| 4(-2x+7)=32(x-8) | | (x*x)+(20*x)=400 | | 5(u-5)-8u=5 | | N^2=-93-2n | | d/11=12 | | -(11x-13)+45-x=3(6-9x)+17+10 | | 18x+7y=22 | | 2h-4h(h-5)= | | 6x-6+5= | | 6.4k=8.7 | | S^2+s=30 | | tan(x)=.8352 | | a-6=420 | | -3x+10y=23 | | a/6=420 | | a+6=420 | | p-6/4=6 | | 11(y+5)=66 | | 2/5(2n-5)=6 | | 8/1=n/2 | | 200+0.25x=350 | | -16t^2-40t-20=0 | | 5x^5-12x^3-9x=0 | | 16t^2-40-20=0 | | 2x^4+5x^2-18=0 | | 2y+3=18 | | 7=3p+5 | | 2x+3=-8 | | -4y+3=-30 | | 8x^2-2=646 | | x+69=42 | | 2x^4-25x^2+63=0 |

Equations solver categories