log(5x+2)+log(3)=log(14x+15)

Simple and best practice solution for log(5x+2)+log(3)=log(14x+15) 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(5x+2)+log(3)=log(14x+15) equation:


Simplifying
log(5x + 2) + log(3) = log(14x + 15)

Reorder the terms:
glo(2 + 5x) + log(3) = log(14x + 15)
(2 * glo + 5x * glo) + log(3) = log(14x + 15)
(2glo + 5glox) + log(3) = log(14x + 15)

Reorder the terms for easier multiplication:
2glo + 5glox + 3glo = log(14x + 15)

Reorder the terms:
2glo + 3glo + 5glox = log(14x + 15)

Combine like terms: 2glo + 3glo = 5glo
5glo + 5glox = log(14x + 15)

Reorder the terms:
5glo + 5glox = glo(15 + 14x)
5glo + 5glox = (15 * glo + 14x * glo)
5glo + 5glox = (15glo + 14glox)

Solving
5glo + 5glox = 15glo + 14glox

Solving for variable 'g'.

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

Add '-15glo' to each side of the equation.
5glo + -15glo + 5glox = 15glo + -15glo + 14glox

Combine like terms: 5glo + -15glo = -10glo
-10glo + 5glox = 15glo + -15glo + 14glox

Combine like terms: 15glo + -15glo = 0
-10glo + 5glox = 0 + 14glox
-10glo + 5glox = 14glox

Add '-14glox' to each side of the equation.
-10glo + 5glox + -14glox = 14glox + -14glox

Combine like terms: 5glox + -14glox = -9glox
-10glo + -9glox = 14glox + -14glox

Combine like terms: 14glox + -14glox = 0
-10glo + -9glox = 0

Factor out the Greatest Common Factor (GCF), '-1glo'.
-1glo(10 + 9x) = 0

Ignore the factor -1.

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 '(10 + 9x)' equal to zero and attempt to solve: Simplifying 10 + 9x = 0 Solving 10 + 9x = 0 Move all terms containing g to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 9x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 9x = 0 + -10 9x = 0 + -10 Combine like terms: 0 + -10 = -10 9x = -10 Add '-9x' to each side of the equation. 9x + -9x = -10 + -9x Combine like terms: 9x + -9x = 0 0 = -10 + -9x Simplifying 0 = -10 + -9x 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:

| 6-3+4x+1=9x+5 | | 3y=4x+21 | | 40(-y+40)=120 | | 10y^2+4y-48=0 | | x/=-5 | | 40(-4+40)=120 | | 6-3+4x+1=y | | 9x+4=5[x-(5-x)] | | 13=7x+1-5x | | 2(y-5)=5y-4 | | 13=7x+1-5 | | tan(68)=4/x | | .93=x/50 | | 8(x-1.6)=4.8 | | 9n=243 | | 5x+8=5-2(3x+7) | | 3x+5y+3xy=12 | | (5x+3)2+(11x-15)=180 | | (11x-44)(x-7)=0 | | 735/783=50/x | | 1-2(-2)=y | | E(x)=130x+104 | | n-19=36 | | (x^2)-8x+10=0 | | 3(2d+7)=16 | | n+26=97 | | 1/3^2-11x-4=0 | | C=1725/9(F-950) | | X(3x-7)(2x+5)=0 | | 0.12*m=6.0 | | 5^t/2=9 | | (5x+3)2=(11x-15) |

Equations solver categories