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

Simple and best practice solution for 2log[5](x-3)=log[5](x-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 2log[5](x-3)=log[5](x-1) equation:


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

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

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

Multiply 2 * 5
10glo(-3 + x) = log[5](x + -1)
(-3 * 10glo + x * 10glo) = log[5](x + -1)
(-30glo + 10glox) = log[5](x + -1)

Reorder the terms:
-30glo + 10glox = glo * 5(-1 + x)

Reorder the terms for easier multiplication:
-30glo + 10glox = 5glo(-1 + x)
-30glo + 10glox = (-1 * 5glo + x * 5glo)
-30glo + 10glox = (-5glo + 5glox)

Solving
-30glo + 10glox = -5glo + 5glox

Solving for variable 'g'.

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

Add '5glo' to each side of the equation.
-30glo + 5glo + 10glox = -5glo + 5glo + 5glox

Combine like terms: -30glo + 5glo = -25glo
-25glo + 10glox = -5glo + 5glo + 5glox

Combine like terms: -5glo + 5glo = 0
-25glo + 10glox = 0 + 5glox
-25glo + 10glox = 5glox

Add '-5glox' to each side of the equation.
-25glo + 10glox + -5glox = 5glox + -5glox

Combine like terms: 10glox + -5glox = 5glox
-25glo + 5glox = 5glox + -5glox

Combine like terms: 5glox + -5glox = 0
-25glo + 5glox = 0

Factor out the Greatest Common Factor (GCF), '5glo'.
5glo(-5 + x) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Add '-1x' to each side of the equation. x + -1x = 5 + -1x Combine like terms: x + -1x = 0 0 = 5 + -1x Simplifying 0 = 5 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

See similar equations:

| 6x^2+2x^3+5x+5=0 | | -48-3m^3=8m-4m^2 | | y^2+2y+20(y+2)=0 | | x^2-5=15x-5 | | x^2-5=15x-b | | x^2-2mx-m^2+4=0 | | 8+4(z-2)=-3z+5 | | 43469.88=x(265.1+315.2+197.5+x) | | 8x*3x=0 | | 3x+2y=123 | | 3m-2(m-2)=20-(2m-5) | | 2x+4y+4-y-9x-6= | | y-80=(x-10) | | x-(0.05X)=70 | | [x^2+6x+8]+[x^2+9x+18]= | | 3x^2-y^2-6x+6y-18=0 | | x+0.8y=30 | | 1=1.25y | | x-3=3+8 | | abs(z+-3i)=abs(z) | | 14+2m=40-16 | | -11-10=1 | | 10a+4b+10=0 | | 3x+12x+15y=450 | | -x+-10=1 | | 6x+y=360 | | x^2+10=2000 | | 4t+7u= | | 3x^2+6x-31=123 | | 3x^2+6x-154=0 | | 4x-3x=74+5 | | 3x=2x+100+50 |

Equations solver categories