Log(x)+Log(x-1)=Log(3x)

Simple and best practice solution for Log(x)+Log(x-1)=Log(3x) 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(x)+Log(x-1)=Log(3x) equation: 


Simplifying
Log(x) + Log(x + -1) = Log(3x)

Multiply goL * x
goxL + Log(x + -1) = Log(3x)

Reorder the terms:
goxL + goL(-1 + x) = Log(3x)
goxL + (-1 * goL + x * goL) = Log(3x)
goxL + (-1goL + goxL) = Log(3x)

Reorder the terms:
-1goL + goxL + goxL = Log(3x)

Combine like terms: goxL + goxL = 2goxL
-1goL + 2goxL = Log(3x)

Remove parenthesis around (3x)
-1goL + 2goxL = goL * 3x

Reorder the terms for easier multiplication:
-1goL + 2goxL = 3goL * x

Multiply goL * x
-1goL + 2goxL = 3goxL

Solving
-1goL + 2goxL = 3goxL

Solving for variable 'g'.

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

Add '-3goxL' to each side of the equation.
-1goL + 2goxL + -3goxL = 3goxL + -3goxL

Combine like terms: 2goxL + -3goxL = -1goxL
-1goL + -1goxL = 3goxL + -3goxL

Combine like terms: 3goxL + -3goxL = 0
-1goL + -1goxL = 0

Factor out the Greatest Common Factor (GCF), '-1goL'.
-1goL(1 + x) = 0

Ignore the factor -1.

Subproblem 1
Set the factor 'goL' equal to zero and attempt to solve:

Simplifying
goL = 0

Solving
goL = 0

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

Simplifying
goL = 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 '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Add '-1x' to each side of the equation.
x + -1x = -1 + -1x

Combine like terms: x + -1x = 0
0 = -1 + -1x

Simplifying
0 = -1 + -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:

| 1-w=0.95 | | h-6=-11 | | -4-5-3g+8= | | x-8+3x+2=-48x-42+32x-8 | | 5*(25-y)+y=10 | | 2*4w= | | 3[-2(j-8)]=4(4j+2) | | -6=-6+f | | x+23=39 | | a(10)=3+(10-1)7 | | 5(-2r+8)=-10+101 | | -4=0.5p/7 | | X=y^2-16y+64 | | -5(t-4)+8t=7t-4 | | ln(5x+1)=ln(6x-2) | | 5.1(1.3-2.7)=(11.9-9) | | 3x-3=3x+2+55 | | 5(3+4x)-1=134 | | -(5t-9)= | | 6x+5+4x=12+13+5 | | 31=13+p | | y-6x-9=0 | | 2d+18-4=60 | | -12z+4=-8 | | 6x+12-9=4x+2(1+x) | | R=300x-x^2 | | 13w+-4w=-9 | | -x+2x+(-3x)+4= | | 6+4*3=n | | -10(1x+5)+62=-19-19 | | -22d+18-14d=60 | | 12(f-940)=516 |

Equations solver categories