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:
goL * 5(3 + x) + -1log[5] * x = 2

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

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

Multiply -1 * 5
15goL + 5goxL + -5glo * x = 2

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

Reorder the terms:
-5glox + 15goL + 5goxL = 2

Solving
-5glox + 15goL + 5goxL = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + -5glox + 15goL + 5goxL = 2 + -2

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

The solution to this equation could not be determined.

See similar equations:

| (90+x)-67=180 | | 8y-12=4x | | (i+3)+i*(2i-4)=0 | | 18+3n=96 | | 39+16x=19x+18 | | 5(m+7)=70 | | 1000+x+3x=21000 | | =(9+4+9+4)2+2(4)9 | | 12-10n=6(8n+2) | | 22+x-22=180 | | 84=6(g+11) | | 8x-3=40 | | 2c-11=15 | | -5+n+12=-15 | | 4y-7+y+21=6y+20-4y | | -5+n+12= | | 8(s+1)=96 | | 18x^3+48x^2=-42x | | 6y-2o=2y-4 | | -1-x=1 | | 16 = p3+ 14 | | 22+(x-22)=180 | | 8x-2=10-3x-x | | 3m^2+12m-96=0 | | 5-4x=24 | | 50=x(4x^2-44x+121) | | 6x+16+12x+2=180 | | 18(3x+1)=(4x+4)(2x+2) | | X-12=3yx+12=3y | | 2(3-7x)=174 | | 5x-65=90 | | 1.5x^2-12x-10=0 |

Equations solver categories