log(x+5)=log(3x+2)+1

Simple and best practice solution for log(x+5)=log(3x+2)+1 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(x+5)=log(3x+2)+1 equation:


Simplifying
log(x + 5) = log(3x + 2) + 1

Reorder the terms:
glo(5 + x) = log(3x + 2) + 1
(5 * glo + x * glo) = log(3x + 2) + 1
(5glo + glox) = log(3x + 2) + 1

Reorder the terms:
5glo + glox = glo(2 + 3x) + 1
5glo + glox = (2 * glo + 3x * glo) + 1
5glo + glox = (2glo + 3glox) + 1

Reorder the terms:
5glo + glox = 1 + 2glo + 3glox

Solving
5glo + glox = 1 + 2glo + 3glox

Solving for variable 'g'.

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

Add '-2glo' to each side of the equation.
5glo + -2glo + glox = 1 + 2glo + -2glo + 3glox

Combine like terms: 5glo + -2glo = 3glo
3glo + glox = 1 + 2glo + -2glo + 3glox

Combine like terms: 2glo + -2glo = 0
3glo + glox = 1 + 0 + 3glox
3glo + glox = 1 + 3glox

Add '-3glox' to each side of the equation.
3glo + glox + -3glox = 1 + 3glox + -3glox

Combine like terms: glox + -3glox = -2glox
3glo + -2glox = 1 + 3glox + -3glox

Combine like terms: 3glox + -3glox = 0
3glo + -2glox = 1 + 0
3glo + -2glox = 1

Reorder the terms:
-1 + 3glo + -2glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 3glo + -2glox = 0

The solution to this equation could not be determined.

See similar equations:

| 8/9=x+1/7(7) | | 3(6.2+5m)= | | -2d=8-d | | -36=-6+5y | | 3(3z-4)-(20z-5)= | | 1040=13x | | 150=17x+26 | | (3x-28)+(x)-(3x-30)=30 | | 2(3x-5)-3(5x+2)=x+14 | | 3.50b+3.50=16 | | 100-6=4d-15-3d | | 20x-11y= | | -28=X-9 | | -24x=66 | | 3x-5(x-3)=-6+2x+13 | | 150=8x-1 | | 3-2z=-7 | | 31=11+10 | | 4-8m=8-9m | | 7x+96=2 | | 11.5-3y=-48.4 | | 7w-7-3=16w-12-5w | | 7(-1/2)x=3 | | 19-2x=9z-14 | | 51-6=5.5r+3.5a | | =80+1.5(q-80) | | 2x+5=7x-56 | | 2(4x+3)=6+8x | | Lny=1.5x^2 | | 5x+1=3x+33 | | y=-10x^2+40x+7 | | 3x-4=4(3x-14) |

Equations solver categories