ln(y)=6ln(2+e^3x)+ln(2)

Simple and best practice solution for ln(y)=6ln(2+e^3x)+ln(2) 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)=6ln(2+e^3x)+ln(2) equation:


Simplifying
ln(y) = 6ln(2 + e3x) + ln(2)

Multiply ln * y
lny = 6ln(2 + e3x) + ln(2)
lny = (2 * 6ln + e3x * 6ln) + ln(2)

Reorder the terms:
lny = (6e3lnx + 12ln) + ln(2)
lny = (6e3lnx + 12ln) + ln(2)

Reorder the terms for easier multiplication:
lny = 6e3lnx + 12ln + 2ln

Combine like terms: 12ln + 2ln = 14ln
lny = 6e3lnx + 14ln

Solving
lny = 6e3lnx + 14ln

Solving for variable 'l'.

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

Add '-6e3lnx' to each side of the equation.
-6e3lnx + lny = 6e3lnx + -6e3lnx + 14ln

Combine like terms: 6e3lnx + -6e3lnx = 0
-6e3lnx + lny = 0 + 14ln
-6e3lnx + lny = 14ln

Add '-14ln' to each side of the equation.
-6e3lnx + -14ln + lny = 14ln + -14ln

Combine like terms: 14ln + -14ln = 0
-6e3lnx + -14ln + lny = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-6e3x + -14 + y) = 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 '(-6e3x + -14 + y)' equal to zero and attempt to solve: Simplifying -6e3x + -14 + y = 0 Reorder the terms: -14 + -6e3x + y = 0 Solving -14 + -6e3x + y = 0 Move all terms containing l to the left, all other terms to the right. Add '14' to each side of the equation. -14 + -6e3x + 14 + y = 0 + 14 Reorder the terms: -14 + 14 + -6e3x + y = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -6e3x + y = 0 + 14 -6e3x + y = 0 + 14 Combine like terms: 0 + 14 = 14 -6e3x + y = 14 Add '6e3x' to each side of the equation. -6e3x + 6e3x + y = 14 + 6e3x Combine like terms: -6e3x + 6e3x = 0 0 + y = 14 + 6e3x y = 14 + 6e3x Add '-1y' to each side of the equation. y + -1y = 14 + 6e3x + -1y Combine like terms: y + -1y = 0 0 = 14 + 6e3x + -1y Simplifying 0 = 14 + 6e3x + -1y 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:

| 3.14=6 | | -5=-4ln(2x-5) | | 4x+9=-59-5x | | -x(3)-7=18 | | x^6=19 | | r*r+10r+9=0 | | 4x+5=-49-5x | | 3x-23=2x+2 | | 2(x-3)+5=8(x-1) | | 5(-3+8)=5(6x+3) | | 7a-3=3+7a | | 3x+8x+13=90 | | 9e-32=4e-82 | | y=30x+75 | | -2d+10d+12=0 | | 32=-f | | 6x+8+4x+12=180 | | 4x+12=3x+20 | | ln(36)-6ln(3)=x | | 8(x+y)+3+(x-y)= | | (3p)squared=x | | 8(5x+6)=8(9x-2) | | 5(x-1)+3x=13+2x | | 2z=6+8 | | 8x^3+48x^2-256=0 | | n+4(n)=190 | | 2z=6+8z | | 7(5x+6)=7(-6x-3) | | 23x+9=7x+201 | | 7x-2=10x+11 | | 8x+20=10x-30 | | 7(a+3)=14a |

Equations solver categories