log(3)(4-x)=log(3)(x+8)

Simple and best practice solution for log(3)(4-x)=log(3)(x+8) 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)(4-x)=log(3)(x+8) equation:


Simplifying
log(3)(4 + -1x) = log(3)(x + 8)

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

Reorder the terms:
12glo + -3glox = glo * 3(8 + x)

Reorder the terms for easier multiplication:
12glo + -3glox = 3glo(8 + x)
12glo + -3glox = (8 * 3glo + x * 3glo)
12glo + -3glox = (24glo + 3glox)

Solving
12glo + -3glox = 24glo + 3glox

Solving for variable 'g'.

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

Add '-24glo' to each side of the equation.
12glo + -24glo + -3glox = 24glo + -24glo + 3glox

Combine like terms: 12glo + -24glo = -12glo
-12glo + -3glox = 24glo + -24glo + 3glox

Combine like terms: 24glo + -24glo = 0
-12glo + -3glox = 0 + 3glox
-12glo + -3glox = 3glox

Add '-3glox' to each side of the equation.
-12glo + -3glox + -3glox = 3glox + -3glox

Combine like terms: -3glox + -3glox = -6glox
-12glo + -6glox = 3glox + -3glox

Combine like terms: 3glox + -3glox = 0
-12glo + -6glox = 0

Factor out the Greatest Common Factor (GCF), '-6glo'.
-6glo(2 + x) = 0

Ignore the factor -6.

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

| (X3-13x2+40x+18)/(x-7) | | -16/x-3=-8/x | | 8(x-8)-4(x-7)-9x= | | 49x^2-3=13 | | 4.3-1.5c=10 | | f(x)=x^3-3x^2+2 | | 3.00+.60m=15.60 | | 4.3-1.5=10 | | 70=7y | | 8(x-8)-4(x-7)+9= | | (K3-30k-18-4k2)/(3+k) | | -4=x/2+2 | | 32/6=160/m | | 2x^2-7=-7 | | 2/3p+12=16 | | 28/6=112/m | | 24d^2-6d=0 | | 1.2c-7.4=3.4c | | 4(-6x+9)=8-84 | | (V3-2v2-14v-5)/(v+3) | | 3x-7x+2=10-12 | | r=5g+5usolveg | | -1+x/3=4 | | 10/20=10/50 | | 6a+6a=48 | | 9x+24=8x+36 | | 7(5x-5)=350 | | 14/20=35/t | | -2(9-2)+5= | | 8(p+3)=16 | | 360=(x-2)(x+3)(10) | | t/20=100/10 |

Equations solver categories