log(3x-1)+log(x+4)=2

Simple and best practice solution for log(3x-1)+log(x+4)=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(3x-1)+log(x+4)=2 equation:


Simplifying
log(3x + -1) + log(x + 4) = 2

Reorder the terms:
glo(-1 + 3x) + log(x + 4) = 2
(-1 * glo + 3x * glo) + log(x + 4) = 2
(-1glo + 3glox) + log(x + 4) = 2

Reorder the terms:
-1glo + 3glox + glo(4 + x) = 2
-1glo + 3glox + (4 * glo + x * glo) = 2
-1glo + 3glox + (4glo + glox) = 2

Reorder the terms:
-1glo + 4glo + 3glox + glox = 2

Combine like terms: -1glo + 4glo = 3glo
3glo + 3glox + glox = 2

Combine like terms: 3glox + glox = 4glox
3glo + 4glox = 2

Solving
3glo + 4glox = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + 3glo + 4glox = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 3glo + 4glox = 0

The solution to this equation could not be determined.

See similar equations:

| 5(x-3)-3(x+1)=32 | | log(8)(2x-3)-log(8)(3x+4)=-1/3 | | 90-2(2x-5)=5x+10 | | 6/10=x/40 | | 3(k-l)=2k+6 | | 2(x+10)=6x-2(x+1) | | -5x=-3(x+4)+2(x+2) | | 8x^3-22x^2+3x+18=0 | | 3r+2+5+4r=56 | | 3w^2-18w-273= | | (1/3)x*x | | 7m^2-(47)m=-2 | | 5x-y=-14 | | 4x^2+25y^2+64x+156=0 | | -2+11x=8x-5 | | 2c^2-12c-110= | | 0=-16t^2+128t+210 | | 2.68=y/3 | | 15b-10=7b-6 | | 7/8=21/X | | 1.5/100x=3 | | (x/3)+(3/x)=1 | | 0=-24-3(x-1)-4x | | 4b^2-28b-240= | | 2x+3-5(U-6)=0 | | 3w^2-27w-66= | | 7x+4=-9x | | 4d=-2/5 | | 4y+6=7y-12 | | 4b^2-8b-32= | | -2(x-1)-3(x+2)=11 | | 0.17x+0.25y+0.25z+15=x |

Equations solver categories