log(5x+4)-log(x-2)=1

Simple and best practice solution for log(5x+4)-log(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(5x+4)-log(x-2)=1 equation:


Simplifying
log(5x + 4) + -1log(x + -2) = 1

Reorder the terms:
glo(4 + 5x) + -1log(x + -2) = 1
(4 * glo + 5x * glo) + -1log(x + -2) = 1
(4glo + 5glox) + -1log(x + -2) = 1

Reorder the terms:
4glo + 5glox + -1glo(-2 + x) = 1
4glo + 5glox + (-2 * -1glo + x * -1glo) = 1
4glo + 5glox + (2glo + -1glox) = 1

Reorder the terms:
4glo + 2glo + 5glox + -1glox = 1

Combine like terms: 4glo + 2glo = 6glo
6glo + 5glox + -1glox = 1

Combine like terms: 5glox + -1glox = 4glox
6glo + 4glox = 1

Solving
6glo + 4glox = 1

Solving for variable 'g'.

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

Reorder the terms:
-1 + 6glo + 4glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 6glo + 4glox = 0

The solution to this equation could not be determined.

See similar equations:

| 3-5d=28 | | (X+7)(x+1)=27 | | 5x+3=3x-14 | | y-(1/5)=(2/5) | | x=4.6-0.8y | | 15x+7=8x | | 2n^2-2n-131070=0 | | -2.6x+1.1=-11.9 | | cos(x)-cos(2x)+cos(3x)-cos(4x)=0.5 | | P(1)=3x^2-3x+6 | | 8a^0b^3= | | 4x+3+12x-8=14 | | 7.50+1.00x=2.50x | | 7m^2+6=552 | | P(x)=3x^2-3x+6 | | 2x-37=12 | | 4sqrt6/sqrt30 | | 2n^2-2n-510=0 | | -82=-2(8+2n)-7n | | 10=3v-3 | | N+2n+3n=90 | | 0.12x+10=x | | 7(x-2)-(6x+6)=7 | | 0.4x-75=90 | | 2=6x-2y | | 5y^2+2x=0 | | 6x^2=3-7x | | Logx12=1/2 | | -0.4y=-3.2 | | 7y+2=2y-15 | | -7+5=5x+4-4x | | 5x+80=90 |

Equations solver categories