Log(7)(3x+2)-log(7)(x-2)=1

Simple and best practice solution for Log(7)(3x+2)-log(7)(x-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(7)(3x+2)-log(7)(x-2)=1 equation: 


Simplifying
Log(7)(3x + 2) + -1log(7)(x + -2) = 1

Reorder the terms:
goL * 7(2 + 3x) + -1log(7)(x + -2) = 1

Reorder the terms for easier multiplication:
7goL(2 + 3x) + -1log(7)(x + -2) = 1
(2 * 7goL + 3x * 7goL) + -1log(7)(x + -2) = 1
(14goL + 21goxL) + -1log(7)(x + -2) = 1

Reorder the terms:
14goL + 21goxL + -1glo * 7(-2 + x) = 1

Reorder the terms for easier multiplication:
14goL + 21goxL + -1 * 7glo(-2 + x) = 1

Multiply -1 * 7
14goL + 21goxL + -7glo(-2 + x) = 1
14goL + 21goxL + (-2 * -7glo + x * -7glo) = 1
14goL + 21goxL + (14glo + -7glox) = 1

Reorder the terms:
14glo + -7glox + 14goL + 21goxL = 1

Solving
14glo + -7glox + 14goL + 21goxL = 1

Solving for variable 'g'.

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

Reorder the terms:
-1 + 14glo + -7glox + 14goL + 21goxL = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 14glo + -7glox + 14goL + 21goxL = 0

The solution to this equation could not be determined.

See similar equations:

| 12/5=x/20 | | 0.05x+0.02(3x)=1360 | | X-25/7=2/3 | | 2(3+4x)-1=13 | | 4=6(w+3)-8w | | 6-2/3x=10 | | -5/3m=10 | | 5h-2t=98+y | | 5h-2t=98 | | 5x+11=-10x+6 | | 13=q(75)+r | | 9=12+4x^2 | | +3-6=-4 | | 5x+15=6x-21 | | 30=x^2-7x | | -2b(11b-3)=0 | | 41n(x-1)=8 | | 6-5[2-(2y-7)]= | | 5/6x12/17 | | (y+8)-(y+6)=9y | | 8n-4=3(6n-8) | | 8n-4=12n+6 | | p=m-mvy | | 16=2b+6.7 | | -[2z-(13z+10)]=10+(10z+6) | | 5-3/2x=16 | | 9[4-(-5x-4)]=90x+108 | | z+4=z+6 | | 8(x+7)+3=8x+9 | | 5-3(x+1)=5 | | -30+-60+5=-85 | | v/33.44=1/3.2 |

Equations solver categories