Log(-2a+8)=log(3a+2)

Simple and best practice solution for Log(-2a+8)=log(3a+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(-2a+8)=log(3a+2) equation: 


Simplifying
Log(-2a + 8) = log(3a + 2)

Reorder the terms:
goL(8 + -2a) = log(3a + 2)
(8 * goL + -2a * goL) = log(3a + 2)

Reorder the terms:
(-2agoL + 8goL) = log(3a + 2)
(-2agoL + 8goL) = log(3a + 2)

Reorder the terms:
-2agoL + 8goL = glo(2 + 3a)
-2agoL + 8goL = (2 * glo + 3a * glo)

Reorder the terms:
-2agoL + 8goL = (3aglo + 2glo)
-2agoL + 8goL = (3aglo + 2glo)

Solving
-2agoL + 8goL = 3aglo + 2glo

Solving for variable 'a'.

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

Add '-3aglo' to each side of the equation.
-2agoL + -3aglo + 8goL = 3aglo + -3aglo + 2glo

Reorder the terms:
-3aglo + -2agoL + 8goL = 3aglo + -3aglo + 2glo

Combine like terms: 3aglo + -3aglo = 0
-3aglo + -2agoL + 8goL = 0 + 2glo
-3aglo + -2agoL + 8goL = 2glo

Add '-8goL' to each side of the equation.
-3aglo + -2agoL + 8goL + -8goL = 2glo + -8goL

Combine like terms: 8goL + -8goL = 0
-3aglo + -2agoL + 0 = 2glo + -8goL
-3aglo + -2agoL = 2glo + -8goL

Reorder the terms:
-3aglo + -2agoL + -2glo + 8goL = 2glo + -2glo + -8goL + 8goL

Combine like terms: 2glo + -2glo = 0
-3aglo + -2agoL + -2glo + 8goL = 0 + -8goL + 8goL
-3aglo + -2agoL + -2glo + 8goL = -8goL + 8goL

Combine like terms: -8goL + 8goL = 0
-3aglo + -2agoL + -2glo + 8goL = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(-3al + -2aL + -2l + 8L) = 0


Subproblem 1
Set the factor 'go' equal to zero and attempt to solve:

Simplifying
go = 0

Solving
go = 0

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

Add '-1go' to each side of the equation.
go + -1go = 0 + -1go
Remove the zero:
0 = -1go

Simplifying
0 = -1go

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 '(-3al + -2aL + -2l + 8L)' equal to zero and attempt to solve:

Simplifying
-3al + -2aL + -2l + 8L = 0

Reorder the terms:
8L + -2aL + -3al + -2l = 0

Solving
8L + -2aL + -3al + -2l = 0

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

Add '-8L' to each side of the equation.
8L + -2aL + -3al + -8L + -2l = 0 + -8L

Reorder the terms:
8L + -8L + -2aL + -3al + -2l = 0 + -8L

Combine like terms: 8L + -8L = 0
0 + -2aL + -3al + -2l = 0 + -8L
-2aL + -3al + -2l = 0 + -8L
Remove the zero:
-2aL + -3al + -2l = -8L

Add '2l' to each side of the equation.
-2aL + -3al + -2l + 2l = -8L + 2l

Combine like terms: -2l + 2l = 0
-2aL + -3al + 0 = -8L + 2l
-2aL + -3al = -8L + 2l

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:

| -8.8x+27.48=3.9x-16.97 | | 9/32x6= | | 6x-40=x+y | | -4.8=d+4.2 | | x/3-12=4 | | 2x-6x+7=x-2+9 | | 5n+6=2n+27 | | 4[log(x)+5]=17 | | n-3.5=-3.7 | | 93=4x+13 | | logx(3x-2)=2 | | 10-6x=-4+2 | | Tan(25)x/3 | | 5.8=c+-1 | | 25/3x^2-3=0 | | 11+n=40 | | r+(-5)= | | 4=-5+u | | 3x-1=123-x | | t^2+14=19 | | -5x+15=46 | | (x/4)=(5/6) | | 56+8x=16 | | 8q-2=6q+18 | | 740=4(x+16) | | 3x^3-x^2-x+3=0 | | 180=90+10x | | i*x^2-3*x+i=0 | | 0.4x=42 | | x+-7.1=4.1 | | 4(2t+12)=160 | | 6(x-5)=3(x-3) |

Equations solver categories