log(x+14)=log(x+6)+logx

Simple and best practice solution for log(x+14)=log(x+6)+logx 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+14)=log(x+6)+logx equation:


Simplifying
log(x + 14) = log(x + 6) + logx

Reorder the terms:
glo(14 + x) = log(x + 6) + logx
(14 * glo + x * glo) = log(x + 6) + logx
(14glo + glox) = log(x + 6) + logx

Reorder the terms:
14glo + glox = glo(6 + x) + logx
14glo + glox = (6 * glo + x * glo) + logx
14glo + glox = (6glo + glox) + logx

Combine like terms: glox + glox = 2glox
14glo + glox = 6glo + 2glox

Solving
14glo + glox = 6glo + 2glox

Solving for variable 'g'.

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

Add '-6glo' to each side of the equation.
14glo + -6glo + glox = 6glo + -6glo + 2glox

Combine like terms: 14glo + -6glo = 8glo
8glo + glox = 6glo + -6glo + 2glox

Combine like terms: 6glo + -6glo = 0
8glo + glox = 0 + 2glox
8glo + glox = 2glox

Add '-2glox' to each side of the equation.
8glo + glox + -2glox = 2glox + -2glox

Combine like terms: glox + -2glox = -1glox
8glo + -1glox = 2glox + -2glox

Combine like terms: 2glox + -2glox = 0
8glo + -1glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(8 + -1x) = 0

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 '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Add 'x' to each side of the equation. -1x + x = -8 + x Combine like terms: -1x + x = 0 0 = -8 + x Simplifying 0 = -8 + x 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:

| 9/6=p/8 | | x+0.3X=50 | | log(2x)=-3.4 | | 20p^2-28p+8=0 | | 2/4=m/6 | | -8+-8(6n+1)= | | 8/4=n/10 | | m-16-4m+56= | | 4/2=m/9 | | 15+7*(5-4)= | | 7n^2-14n=-1 | | 7b+2b=t-6 | | 2*ln*e^1/3 | | n/2=9/3 | | 1/2x-35-1 | | p/2=10/5 | | 2(x+12)=3x-24-x | | p/3=10/5 | | 8(y+4)-2(y-1)=70-3 | | 3(x+4)+5=45 | | .2(x-2)=.1(x+6) | | 2x=-5x+56 | | (0.6)(-18-12y)+10y+12=0 | | -3(x-5)=3x-15 | | v/13=18 | | x/8-7=-5 | | 6x^2-18x+4=0 | | -2y-3g+8=8-5y-12 | | 14=1b-1 | | n/10=-3 | | a/2=-20 | | 5000-2945= |

Equations solver categories