ln(10x+17)=ln(x+1)+ln(2x-1)

Simple and best practice solution for ln(10x+17)=ln(x+1)+ln(2x-1) 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 ln(10x+17)=ln(x+1)+ln(2x-1) equation:


Simplifying
ln(10x + 17) = ln(x + 1) + ln(2x + -1)

Reorder the terms:
ln(17 + 10x) = ln(x + 1) + ln(2x + -1)
(17 * ln + 10x * ln) = ln(x + 1) + ln(2x + -1)
(17ln + 10lnx) = ln(x + 1) + ln(2x + -1)

Reorder the terms:
17ln + 10lnx = ln(1 + x) + ln(2x + -1)
17ln + 10lnx = (1 * ln + x * ln) + ln(2x + -1)
17ln + 10lnx = (1ln + lnx) + ln(2x + -1)

Reorder the terms:
17ln + 10lnx = 1ln + lnx + ln(-1 + 2x)
17ln + 10lnx = 1ln + lnx + (-1 * ln + 2x * ln)
17ln + 10lnx = 1ln + lnx + (-1ln + 2lnx)

Reorder the terms:
17ln + 10lnx = 1ln + -1ln + lnx + 2lnx

Combine like terms: 1ln + -1ln = 0
17ln + 10lnx = 0 + lnx + 2lnx
17ln + 10lnx = lnx + 2lnx

Combine like terms: lnx + 2lnx = 3lnx
17ln + 10lnx = 3lnx

Solving
17ln + 10lnx = 3lnx

Solving for variable 'l'.

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

Add '-3lnx' to each side of the equation.
17ln + 10lnx + -3lnx = 3lnx + -3lnx

Combine like terms: 10lnx + -3lnx = 7lnx
17ln + 7lnx = 3lnx + -3lnx

Combine like terms: 3lnx + -3lnx = 0
17ln + 7lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(17 + 7x) = 0

Subproblem 1

Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 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 '(17 + 7x)' equal to zero and attempt to solve: Simplifying 17 + 7x = 0 Solving 17 + 7x = 0 Move all terms containing l to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 7x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 7x = 0 + -17 7x = 0 + -17 Combine like terms: 0 + -17 = -17 7x = -17 Add '-7x' to each side of the equation. 7x + -7x = -17 + -7x Combine like terms: 7x + -7x = 0 0 = -17 + -7x Simplifying 0 = -17 + -7x 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:

| a+3-1*3+2-4+0*1=0 | | 3x^2-140x+1200=0 | | 7x=1/5 | | r-4/5=9/4 | | r-4/5=21/4 | | 3x^2+140x+1200=0 | | (x+8)m=20 | | 6-5j=94 | | 8-z=2 | | 1/2x=4/5 | | 16-2n+8n=n+3(n+4)+20 | | 3X+10+x+90=180 | | 52=5x-(4-3x) | | 4x=7y-6 | | -24x+3y=0 | | 3x^3-7x^2+10x=0 | | -16y=-2x | | 6x-3+-10=8+x | | 4n^2+8n+3n=0 | | -3+2x-3/4=1/20 | | -0.5x+1.33=-1.555 | | 10=2(3n-4) | | 2/35x=2/7 | | 16+.14x=23+.10x | | =-16t^2+128t | | -6z=-9z | | 7sinx/2=0 | | -6y=6y | | cos^2x-(3a+2)cosx+a+6=0 | | 3n+0.4=1 | | 3z+6=z-18 | | 12000-42x=11370 |

Equations solver categories