Log(6)(x-1)+log(6)(x+4)=2

Simple and best practice solution for Log(6)(x-1)+log(6)(x+4)=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(6)(x-1)+log(6)(x+4)=2 equation: 


Simplifying
Log(6)(x + -1) + log(6)(x + 4) = 2

Reorder the terms:
goL * 6(-1 + x) + log(6)(x + 4) = 2

Reorder the terms for easier multiplication:
6goL(-1 + x) + log(6)(x + 4) = 2
(-1 * 6goL + x * 6goL) + log(6)(x + 4) = 2
(-6goL + 6goxL) + log(6)(x + 4) = 2

Reorder the terms:
-6goL + 6goxL + glo * 6(4 + x) = 2

Reorder the terms for easier multiplication:
-6goL + 6goxL + 6glo(4 + x) = 2
-6goL + 6goxL + (4 * 6glo + x * 6glo) = 2
-6goL + 6goxL + (24glo + 6glox) = 2

Reorder the terms:
24glo + 6glox + -6goL + 6goxL = 2

Solving
24glo + 6glox + -6goL + 6goxL = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + 24glo + 6glox + -6goL + 6goxL = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 24glo + 6glox + -6goL + 6goxL = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 12glo + 3glox + -3goL + 3goxL) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1 + 12glo + 3glox + -3goL + 3goxL)' equal to zero and attempt to solve:

Simplifying
-1 + 12glo + 3glox + -3goL + 3goxL = 0

Solving
-1 + 12glo + 3glox + -3goL + 3goxL = 0

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

Add '1' to each side of the equation.
-1 + 12glo + 3glox + -3goL + 1 + 3goxL = 0 + 1

Reorder the terms:
-1 + 1 + 12glo + 3glox + -3goL + 3goxL = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 12glo + 3glox + -3goL + 3goxL = 0 + 1
12glo + 3glox + -3goL + 3goxL = 0 + 1

Combine like terms: 0 + 1 = 1
12glo + 3glox + -3goL + 3goxL = 1

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:

| -5k^2+15k=-7k^2+4k-14 | | 9y+1=8y-3 | | f(3)=18x+13 | | (x+y)(x-72y)= | | B-7=17 | | h=2pirh+2pir^2 | | 3s^2-4x+7=0 | | 5x+29=5+9x | | 7v^2-32v=-16 | | 23x-22=24 | | 5(1-4x)=145 | | k(x)=2x^2-19x-48 | | 5x+(6(x*x))+(x*x*x)=180 | | -16=4(t+7) | | 100-3[2(7-2)]= | | 5+6=16-5 | | y+11=(x+6) | | 18=3x+9 | | 5x+(6x*6x)+(x*x*x)=180 | | 7/8h-5/8=2 | | 14=-5*-6+-6-10 | | 7a^2+3a=0 | | x^2-6x-37=6 | | 3(x-3)+4=7 | | 5(x-2)-3(x+2)=2x-3 | | -5(1-5x)+5(-8x-2)m=-4x-8x | | 18=23x-28 | | 5x(2)=1(x+9) | | 15x+24-4x= | | 28f=7 | | (x-11y)(x-1y)= | | x+10+1-9x= |

Equations solver categories