log[5](x+3)-log[5](x)=2

Simple and best practice solution for log[5](x+3)-log[5](x)=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[5](x+3)-log[5](x)=2 equation:


Simplifying
log[5](x + 3) + -1log[5](x) = 2

Reorder the terms:
glo * 5(3 + x) + -1log[5](x) = 2

Reorder the terms for easier multiplication:
5glo(3 + x) + -1log[5](x) = 2
(3 * 5glo + x * 5glo) + -1log[5](x) = 2
(15glo + 5glox) + -1log[5](x) = 2

Reorder the terms for easier multiplication:
15glo + 5glox + -1 * 5glo * x = 2

Multiply -1 * 5
15glo + 5glox + -5glo * x = 2

Multiply glo * x
15glo + 5glox + -5glox = 2

Combine like terms: 5glox + -5glox = 0
15glo + 0 = 2
15glo = 2

Solving
15glo = 2

Solving for variable 'g'.

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

Divide each side by '15lo'.
g = 0.1333333333l-1o-1

Simplifying
g = 0.1333333333l-1o-1

See similar equations:

| 4*-6-y=-15 | | -16(x^2)+24x+50=0 | | -3p+6=q+zforq | | 15-3(y+5-7)= | | (2x+2)=180 | | -3p+6=q+z | | -6w+3(w-8)=-18 | | 10m+2+7m-3+5m= | | -(1-x)-5(3x+7)=-36 | | 3(x-1)=5(x+6)-10 | | 7y*2x= | | 8(r+9)+7r= | | 4[5-4(3-t)]-2=5[4(5t-4)+13]-38 | | a+2b+2c=540 | | -86-2(11b)+4(5b)+26= | | 10x^2+13x+9=0 | | (4x+9)=90 | | 8x=9+8x | | -5x^2-40x-72=0 | | c+6+4c-3+4= | | -2x+8+3x=10-34 | | k+13=35 | | j-86=9 | | -6x+10x=3x+7 | | 7p-6+8p-2-2p= | | 8x+13=7x+5 | | (7x+4)=90 | | y=0.6*x+7 | | 3+2s-4+3s= | | 8.4(x-2.5)=-25.2 | | 6-2(3x+4)=8x-(5-6) | | 21x=378 |

Equations solver categories