ln(10x+30)=2

Simple and best practice solution for ln(10x+30)=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(10x+30)=2 equation:


Simplifying
ln(10x + 30) = 2

Reorder the terms:
ln(30 + 10x) = 2
(30 * ln + 10x * ln) = 2
(30ln + 10lnx) = 2

Solving
30ln + 10lnx = 2

Solving for variable 'l'.

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

Reorder the terms:
-2 + 30ln + 10lnx = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 30ln + 10lnx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 15ln + 5lnx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-1 + 15ln + 5lnx)' equal to zero and attempt to solve: Simplifying -1 + 15ln + 5lnx = 0 Solving -1 + 15ln + 5lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 15ln + 1 + 5lnx = 0 + 1 Reorder the terms: -1 + 1 + 15ln + 5lnx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 15ln + 5lnx = 0 + 1 15ln + 5lnx = 0 + 1 Combine like terms: 0 + 1 = 1 15ln + 5lnx = 1 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:

| X+7=5(3x-4) | | -4rs^5(8s^4-5r^2+6)=0 | | 0.12y+0.07(y+7000)=1820 | | x^3+8-2x^2-4-x+2= | | x^2-7x=15-x^2 | | x+sqrtx-30=0 | | x+8=7-14x | | g(-1)=3(-1)-5 | | 2p^2-16p-8=0 | | -4(8y+5)=24 | | 3x+9y=69.75 | | 7m-18=38whatism | | f(-8)=3(-8)+1 | | x(7x+1)= | | 1+9x=-15+x | | p=10-.2q | | 35+2k=1k | | y^2-2y^2+1=0 | | ine^6x= | | x(3x+9)= | | x^6+9x^4+26x^2+7=0 | | x^6+9x^4+26x^2-2=0 | | x^6+9x^4+26x^2+12=0 | | -3(8k+7)=-38-7k | | x^6+9x^4+26x^2+3=0 | | 8(7r+6)=-34-4r | | 4n-10=n+50 | | -(2a-5)=13 | | (8x+5)+(6x+7)=180 | | 8n-7=5n+17 | | -4n+n^2=0 | | 7(x-2)-4(5-x)=1 |

Equations solver categories