Log*3(x+2)=log*9(6x+4)

Simple and best practice solution for Log*3(x+2)=log*9(6x+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*3(x+2)=log*9(6x+4) equation:


Simplifying
Log * 3(x + 2) = log * 9(6x + 4)

Reorder the terms:
goL * 3(2 + x) = log * 9(6x + 4)

Reorder the terms for easier multiplication:
3goL(2 + x) = log * 9(6x + 4)
(2 * 3goL + x * 3goL) = log * 9(6x + 4)
(6goL + 3goxL) = log * 9(6x + 4)

Reorder the terms:
6goL + 3goxL = glo * 9(4 + 6x)

Reorder the terms for easier multiplication:
6goL + 3goxL = 9glo(4 + 6x)
6goL + 3goxL = (4 * 9glo + 6x * 9glo)
6goL + 3goxL = (36glo + 54glox)

Solving
6goL + 3goxL = 36glo + 54glox

Solving for variable 'g'.

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

Add '-36glo' to each side of the equation.
6goL + -36glo + 3goxL = 36glo + -36glo + 54glox

Reorder the terms:
-36glo + 6goL + 3goxL = 36glo + -36glo + 54glox

Combine like terms: 36glo + -36glo = 0
-36glo + 6goL + 3goxL = 0 + 54glox
-36glo + 6goL + 3goxL = 54glox

Add '-54glox' to each side of the equation.
-36glo + 6goL + -54glox + 3goxL = 54glox + -54glox

Reorder the terms:
-36glo + -54glox + 6goL + 3goxL = 54glox + -54glox

Combine like terms: 54glox + -54glox = 0
-36glo + -54glox + 6goL + 3goxL = 0

Factor out the Greatest Common Factor (GCF), '3go'.
3go(-12l + -18lx + 2L + xL) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 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 '(-12l + -18lx + 2L + xL)' equal to zero and attempt to solve: Simplifying -12l + -18lx + 2L + xL = 0 Reorder the terms: 2L + -12l + -18lx + xL = 0 Solving 2L + -12l + -18lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-2L' to each side of the equation. 2L + -12l + -18lx + -2L + xL = 0 + -2L Reorder the terms: 2L + -2L + -12l + -18lx + xL = 0 + -2L Combine like terms: 2L + -2L = 0 0 + -12l + -18lx + xL = 0 + -2L -12l + -18lx + xL = 0 + -2L Remove the zero: -12l + -18lx + xL = -2L Add '12l' to each side of the equation. -12l + -18lx + 12l + xL = -2L + 12l Reorder the terms: -12l + 12l + -18lx + xL = -2L + 12l Combine like terms: -12l + 12l = 0 0 + -18lx + xL = -2L + 12l -18lx + xL = -2L + 12l Add '18lx' to each side of the equation. -18lx + 18lx + xL = -2L + 12l + 18lx Combine like terms: -18lx + 18lx = 0 0 + xL = -2L + 12l + 18lx xL = -2L + 12l + 18lx Add '-1xL' to each side of the equation. xL + -1xL = -2L + 12l + 18lx + -1xL Combine like terms: xL + -1xL = 0 0 = -2L + 12l + 18lx + -1xL Simplifying 0 = -2L + 12l + 18lx + -1xL 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:

| 7x-2x+8x=4x+3-6x | | -2/3y-4= | | 9x-2+3x+1=2x+2+10x-3 | | 2x^3+x-72=0 | | 3x+2+2(3x)=50 | | (-2/3y-4)+4y= | | (-2/3y-4)+4y=1 | | 3L+3(L-5)=159 | | y=16-14x | | 2l+2(L-5)=90 | | 3(2x)=x+2x+12 | | 7X-2+9X=4X+3-6x | | 3(2x)=x+2+12 | | 7+15y-4=9y+53-4y | | 46-6x=3x-17 | | 14-3x=5x-18 | | 7x-3+8x=2x+4-4x | | ax+6=0 | | 15x+1=91 | | x+x(0.25)=42000 | | n-30=-47 | | 4(v+1)=7v+16 | | 4c-c=23 | | 4=c+5-18 | | y-40=-43 | | 9c-11=-c+9 | | 7.6x=23.56 | | 10[x-(4x+34)+7]=5(x+9) | | 650x=60-20 | | 8x-4=92-4x | | 10=150 | | -10=150 |

Equations solver categories