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

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


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

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

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

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

Combine like terms: -4glo + 4glo = 0
0 + 3glox + glox = 1
3glox + glox = 1

Combine like terms: 3glox + glox = 4glox
4glox = 1

Solving
4glox = 1

Solving for variable 'g'.

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

Divide each side by '4lox'.
g = 0.25l-1o-1x-1

Simplifying
g = 0.25l-1o-1x-1

See similar equations:

| 30h^4+25h^3-5h^2= | | (3x+1)(x+1)=133 | | 10x+32=2 | | 36h^3-60h^2-144h= | | 6x^2-2x+1=0 | | 50h^4-32h^2= | | 7x-y=67 | | (2p+q)r^2-12(2p+q)r+27(2p+q)= | | 1817000x+1090200y=12192070 | | 7t^2+13t=2 | | (a+b)x^2+(a+b)x-12(a-b)= | | a^2+9a=2a-9 | | 7h^4+9h^3+2h^2= | | 2x^2-5x-8=0 | | z^10-4z^9y-21z^8y^2= | | 2x+42=45 | | 9y-36y^2=0 | | 20y^3-60y^2+45y= | | y^3z+y^2z^2-6yz^3= | | 20y^3-45y= | | 20y^3+45y= | | (a+b)=5(a+b) | | (2w^7-9w^3+6w^2+6)+(3w^6+3w^3-8w)=X | | 16x+9x=72 | | 5y^3+y^2-16y= | | (2w^7-9w^3+6w^2+6)+(3w^6+3w^3-8w)= | | m^3n-10m^2n^2+24mn^3= | | b^2+b=132 | | 5m^5+25m^4-40m^2= | | 98x=7 | | 4(x-2)-7=-3(x-5) | | 4(x-2)-7=3(x-5) |

Equations solver categories