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

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


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

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

Reorder the terms for easier multiplication:
5glo(2 + x) + log(5)(x + -2) = 1
(2 * 5glo + x * 5glo) + log(5)(x + -2) = 1
(10glo + 5glox) + log(5)(x + -2) = 1

Reorder the terms:
10glo + 5glox + glo * 5(-2 + x) = 1

Reorder the terms for easier multiplication:
10glo + 5glox + 5glo(-2 + x) = 1
10glo + 5glox + (-2 * 5glo + x * 5glo) = 1
10glo + 5glox + (-10glo + 5glox) = 1

Reorder the terms:
10glo + -10glo + 5glox + 5glox = 1

Combine like terms: 10glo + -10glo = 0
0 + 5glox + 5glox = 1
5glox + 5glox = 1

Combine like terms: 5glox + 5glox = 10glox
10glox = 1

Solving
10glox = 1

Solving for variable 'g'.

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

Divide each side by '10lox'.
g = 0.1l-1o-1x-1

Simplifying
g = 0.1l-1o-1x-1

See similar equations:

| x+-2=2 | | -15=-9.7 | | V-9/10v=11 | | 94-3x=25+2(x-4) | | 4x^2-25x+5=0 | | (7-14)*-12-8/-4=35 | | 3x+53=122 | | 6=x/12 | | 3x-x^2=6 | | 3(6)+11y=100 | | 25/30w=51/30w-5/30 | | 9(x+36)=369 | | 9j+9(9j+1)= | | -2(2x--3)=-2 | | 390/y | | 7=2m | | (2x+12)=90 | | 5a+4+8a-5=90 | | 40=(3w-2)w | | -5=14-(-16n) | | 3(5)+11y=100 | | 4x-1=x-5 | | x-7.5=8.4 | | 1.1=0.2+x | | X^2-4x=x+14 | | 2x-3=-6+2x | | 12=12-n | | -(5-4j)= | | 7(m-2)-4m+5= | | 5a+4=8a-5 | | 3x^2y*2xy= | | (3x+1)(7x-4)= |

Equations solver categories