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

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


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

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

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

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

Solving for variable 'g'.

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

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

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

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

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

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

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

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(3 + -2x) = 0

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 '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing g to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Add '2x' to each side of the equation. -2x + 2x = -3 + 2x Combine like terms: -2x + 2x = 0 0 = -3 + 2x Simplifying 0 = -3 + 2x 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:

| n-4=-4 | | 4(y-3)-6y=-2(y+6) | | (x+3)(x+2)=10x | | 0.7x^2=2.8x+0.7 | | 2y+7=3 | | 36x^2-5xy-24y^2=0 | | 15+2x=3x-15 | | 5(3y-1)=-35 | | 2(w+1)+4w=3(2w-1) | | 25z^2-36=0 | | 2(n+6)=36 | | 2x-5=3x+21 | | 14z-(3z-2)=[5z+2-(2-1)] | | 2p^2=-13p-15 | | 3(y-2)-4y=2(y-9) | | y=-2+.3+5 | | -9v+1=-80 | | 16x^2-a^2=0 | | 7x+4+5x=148 | | (4x-11)+x=204 | | 20x^2=-15x | | n-10+10=30 | | 4y^2-12=0 | | (3x^2y)-(-2x)(xy^2)=n | | -3(v+5)+2=4(v+2) | | -6(4y-8z)+8(3y-6z)= | | 3(w+2)-w=2(w-1)+5 | | -17=-17z | | x^2-20-x=0 | | 4t+8-6= | | 9(8n-4n)= | | .5t+.25(t+16)=4+.75t |

Equations solver categories