Ln(y+3)-ln(8)=x+ln(x)

Simple and best practice solution for Ln(y+3)-ln(8)=x+ln(x) 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(y+3)-ln(8)=x+ln(x) equation:


Simplifying
Ln(y + 3) + -1ln(8) = x + ln(x)

Reorder the terms:
nL(3 + y) + -1ln(8) = x + ln(x)
(3 * nL + y * nL) + -1ln(8) = x + ln(x)
(3nL + nyL) + -1ln(8) = x + ln(x)

Reorder the terms for easier multiplication:
3nL + nyL + -1 * 8ln = x + ln(x)

Multiply -1 * 8
3nL + nyL + -8ln = x + ln(x)

Reorder the terms:
-8ln + 3nL + nyL = x + ln(x)

Multiply ln * x
-8ln + 3nL + nyL = x + lnx

Reorder the terms:
-8ln + 3nL + nyL = lnx + x

Solving
-8ln + 3nL + nyL = lnx + x

Solving for variable 'l'.

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

Add '-1lnx' to each side of the equation.
-8ln + 3nL + -1lnx + nyL = lnx + -1lnx + x

Reorder the terms:
-8ln + -1lnx + 3nL + nyL = lnx + -1lnx + x

Combine like terms: lnx + -1lnx = 0
-8ln + -1lnx + 3nL + nyL = 0 + x
-8ln + -1lnx + 3nL + nyL = x

Add '-3nL' to each side of the equation.
-8ln + -1lnx + 3nL + -3nL + nyL = -3nL + x

Combine like terms: 3nL + -3nL = 0
-8ln + -1lnx + 0 + nyL = -3nL + x
-8ln + -1lnx + nyL = -3nL + x

Add '-1nyL' to each side of the equation.
-8ln + -1lnx + nyL + -1nyL = -3nL + -1nyL + x

Combine like terms: nyL + -1nyL = 0
-8ln + -1lnx + 0 = -3nL + -1nyL + x
-8ln + -1lnx = -3nL + -1nyL + x

Reorder the terms:
-8ln + -1lnx + 3nL + nyL + -1x = -3nL + 3nL + -1nyL + nyL + x + -1x

Combine like terms: -3nL + 3nL = 0
-8ln + -1lnx + 3nL + nyL + -1x = 0 + -1nyL + nyL + x + -1x
-8ln + -1lnx + 3nL + nyL + -1x = -1nyL + nyL + x + -1x

Combine like terms: -1nyL + nyL = 0
-8ln + -1lnx + 3nL + nyL + -1x = 0 + x + -1x
-8ln + -1lnx + 3nL + nyL + -1x = x + -1x

Combine like terms: x + -1x = 0
-8ln + -1lnx + 3nL + nyL + -1x = 0

The solution to this equation could not be determined.

See similar equations:

| 23+6x=26 | | 7+-5y=-4y | | 30=5/6w | | X=28+-3x | | 18-(3xa)ifa=5 | | 15x^4+17x^2-12=0 | | C(x)=0.01x^2-x+112 | | (7x+25)+60=180 | | 12(-5+3)= | | 20x-16x^2=0 | | 5(x+2y)-x= | | 2x^2-16x+c=0 | | 6n-2=20 | | -7x+y=16 | | 3(w+5)=2w+35 | | 24x+4=4(5x-7) | | 9y-(5y-3)=33 | | 4x+10=x+70 | | 6-x/7=-2 | | 2(u+7)=4u+26 | | 8x-4+9=2 | | 5a+3b-2a= | | h=t^2-9t+25 | | 2(m-4)=3m-10 | | 6m+4m-1=39 | | -18+12n=10+5n | | 6x/5=30 | | 4x+29x+30= | | 5+2x=-16 | | p=r+s-7whatisr | | 180-x=5x+3x | | -7=v-4 |

Equations solver categories