log[4](2x+3)=log[4](44-x)-log[4](x-2)

Simple and best practice solution for log[4](2x+3)=log[4](44-x)-log[4](x-2) 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[4](2x+3)=log[4](44-x)-log[4](x-2) equation:


Simplifying
log[4](2x + 3) = log[4](44 + -1x) + -1log[4](x + -2)

Reorder the terms:
glo * 4(3 + 2x) = log[4](44 + -1x) + -1log[4](x + -2)

Reorder the terms for easier multiplication:
4glo(3 + 2x) = log[4](44 + -1x) + -1log[4](x + -2)
(3 * 4glo + 2x * 4glo) = log[4](44 + -1x) + -1log[4](x + -2)
(12glo + 8glox) = log[4](44 + -1x) + -1log[4](x + -2)

Reorder the terms for easier multiplication:
12glo + 8glox = 4glo(44 + -1x) + -1log[4](x + -2)
12glo + 8glox = (44 * 4glo + -1x * 4glo) + -1log[4](x + -2)
12glo + 8glox = (176glo + -4glox) + -1log[4](x + -2)

Reorder the terms:
12glo + 8glox = 176glo + -4glox + -1glo * 4(-2 + x)

Reorder the terms for easier multiplication:
12glo + 8glox = 176glo + -4glox + -1 * 4glo(-2 + x)

Multiply -1 * 4
12glo + 8glox = 176glo + -4glox + -4glo(-2 + x)
12glo + 8glox = 176glo + -4glox + (-2 * -4glo + x * -4glo)
12glo + 8glox = 176glo + -4glox + (8glo + -4glox)

Reorder the terms:
12glo + 8glox = 176glo + 8glo + -4glox + -4glox

Combine like terms: 176glo + 8glo = 184glo
12glo + 8glox = 184glo + -4glox + -4glox

Combine like terms: -4glox + -4glox = -8glox
12glo + 8glox = 184glo + -8glox

Solving
12glo + 8glox = 184glo + -8glox

Solving for variable 'g'.

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

Add '-184glo' to each side of the equation.
12glo + -184glo + 8glox = 184glo + -184glo + -8glox

Combine like terms: 12glo + -184glo = -172glo
-172glo + 8glox = 184glo + -184glo + -8glox

Combine like terms: 184glo + -184glo = 0
-172glo + 8glox = 0 + -8glox
-172glo + 8glox = -8glox

Add '8glox' to each side of the equation.
-172glo + 8glox + 8glox = -8glox + 8glox

Combine like terms: 8glox + 8glox = 16glox
-172glo + 16glox = -8glox + 8glox

Combine like terms: -8glox + 8glox = 0
-172glo + 16glox = 0

Factor out the Greatest Common Factor (GCF), '4glo'.
4glo(-43 + 4x) = 0

Ignore the factor 4.

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 '(-43 + 4x)' equal to zero and attempt to solve: Simplifying -43 + 4x = 0 Solving -43 + 4x = 0 Move all terms containing g to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + 4x = 0 + 43 Combine like terms: -43 + 43 = 0 0 + 4x = 0 + 43 4x = 0 + 43 Combine like terms: 0 + 43 = 43 4x = 43 Add '-4x' to each side of the equation. 4x + -4x = 43 + -4x Combine like terms: 4x + -4x = 0 0 = 43 + -4x Simplifying 0 = 43 + -4x 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:

| 15(t-2)+6t=7(3t+3)-11 | | Xsquared-3x=70 | | 3x+20y=120 | | 5/8=x/40 | | 3(v-2)=8v+19 | | b+-44=-34 | | 5x+-4y=-36 | | -2.4x+1.2x=3.6 | | ln*(8x+7)-ln*x=ln*9 | | y=(x^2-x+5)(-1-8x)+(2-x-4x^2)(2x-1) | | 3*3-2*3+u=(3*3*3-3*8)(2)+u | | -13x-15=180 | | 146+n=753 | | 12x-7=3x+10 | | -3(8p+4)-2(2-17p)=3(2+3p) | | H=-16t^3+104t+56 | | 10-4s=30+6s | | 3[2x-3]=9 | | 150=2w+2(5+w) | | 1/3×3.14×49 | | 12=7+2x-7-14x | | 32=-8x+5(x+4) | | 16=k/ | | 4n-7(4n-7)=217 | | 6+4x-9=7-2x-3 | | -14x^2+34x+24=0 | | 7(-1+0.2y)-2y=-4 | | 12k=48 | | 9x+332=113 | | -9x-8=-6x-2 | | 6x-3/3 | | 3(4x+6)=6(2x+3) |

Equations solver categories