log(5x+1)+log(2)=Log(9x+10)

Simple and best practice solution for log(5x+1)+log(2)=Log(9x+10) 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+1)+log(2)=Log(9x+10) equation:


Simplifying
log(5x + 1) + log(2) = Log(9x + 10)

Reorder the terms:
glo(1 + 5x) + log(2) = Log(9x + 10)
(1 * glo + 5x * glo) + log(2) = Log(9x + 10)
(1glo + 5glox) + log(2) = Log(9x + 10)

Reorder the terms for easier multiplication:
1glo + 5glox + 2glo = Log(9x + 10)

Reorder the terms:
1glo + 2glo + 5glox = Log(9x + 10)

Combine like terms: 1glo + 2glo = 3glo
3glo + 5glox = Log(9x + 10)

Reorder the terms:
3glo + 5glox = goL(10 + 9x)
3glo + 5glox = (10 * goL + 9x * goL)
3glo + 5glox = (10goL + 9goxL)

Solving
3glo + 5glox = 10goL + 9goxL

Solving for variable 'g'.

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

Add '-10goL' to each side of the equation.
3glo + 5glox + -10goL = 10goL + -10goL + 9goxL

Combine like terms: 10goL + -10goL = 0
3glo + 5glox + -10goL = 0 + 9goxL
3glo + 5glox + -10goL = 9goxL

Add '-9goxL' to each side of the equation.
3glo + 5glox + -10goL + -9goxL = 9goxL + -9goxL

Combine like terms: 9goxL + -9goxL = 0
3glo + 5glox + -10goL + -9goxL = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(3l + 5lx + -10L + -9xL) = 0

Subproblem 1

Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 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 '(3l + 5lx + -10L + -9xL)' equal to zero and attempt to solve: Simplifying 3l + 5lx + -10L + -9xL = 0 Reorder the terms: -10L + 3l + 5lx + -9xL = 0 Solving -10L + 3l + 5lx + -9xL = 0 Move all terms containing g to the left, all other terms to the right. Add '10L' to each side of the equation. -10L + 3l + 5lx + 10L + -9xL = 0 + 10L Reorder the terms: -10L + 10L + 3l + 5lx + -9xL = 0 + 10L Combine like terms: -10L + 10L = 0 0 + 3l + 5lx + -9xL = 0 + 10L 3l + 5lx + -9xL = 0 + 10L Remove the zero: 3l + 5lx + -9xL = 10L Add '-3l' to each side of the equation. 3l + 5lx + -3l + -9xL = 10L + -3l Reorder the terms: 3l + -3l + 5lx + -9xL = 10L + -3l Combine like terms: 3l + -3l = 0 0 + 5lx + -9xL = 10L + -3l 5lx + -9xL = 10L + -3l Add '-5lx' to each side of the equation. 5lx + -5lx + -9xL = 10L + -3l + -5lx Combine like terms: 5lx + -5lx = 0 0 + -9xL = 10L + -3l + -5lx -9xL = 10L + -3l + -5lx Add '9xL' to each side of the equation. -9xL + 9xL = 10L + -3l + -5lx + 9xL Combine like terms: -9xL + 9xL = 0 0 = 10L + -3l + -5lx + 9xL Simplifying 0 = 10L + -3l + -5lx + 9xL 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:

| 25.25=1.75*x | | 19=-2x-1 | | 26.25=1.75*x | | 123.75=8.25*x | | 3x+8y=-15 | | (4x^2-12x+9)-64y^2=0 | | 4x^2-12x+9-64y^2=0 | | 200+.05=400 | | y+4x=9x-3 | | 230-5x=40x+15 | | 2x-8y=-46 | | 1/3(10x-3)=3 | | a(2x+3)+3bx-12x-5=0 | | x+4y-8=0 | | 2/3(10x-3)=3 | | (y-7)(3y+22)=0 | | -23=-2d-10+d | | 4x-24=3x+9 | | -5x+-2+5x=-2 | | 2q+9-3q=7 | | 13+7x=88-28x | | 300-120x=4000-160x | | 2-x=4+x | | -27-7x=88-28x | | 9x-4x+2x=7x | | 9x-28-x=14+x | | 36x^2+96x=0 | | 3x-8x=2x+21 | | x+5x=252 | | 7x+5=60-4x | | x+3x=26432 | | 7x+2=4+5x |

Equations solver categories