ln(5x)+ln(2x-4)=ln(30)

Simple and best practice solution for ln(5x)+ln(2x-4)=ln(30) 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(5x)+ln(2x-4)=ln(30) equation: 


Simplifying
ln(5x) + ln(2x + -4) = ln(30)

Remove parenthesis around (5x)
ln * 5x + ln(2x + -4) = ln(30)

Reorder the terms for easier multiplication:
5ln * x + ln(2x + -4) = ln(30)

Multiply ln * x
5lnx + ln(2x + -4) = ln(30)

Reorder the terms:
5lnx + ln(-4 + 2x) = ln(30)
5lnx + (-4 * ln + 2x * ln) = ln(30)
5lnx + (-4ln + 2lnx) = ln(30)

Reorder the terms:
-4ln + 5lnx + 2lnx = ln(30)

Combine like terms: 5lnx + 2lnx = 7lnx
-4ln + 7lnx = ln(30)

Reorder the terms for easier multiplication:
-4ln + 7lnx = 30ln

Solving
-4ln + 7lnx = 30ln

Solving for variable 'l'.

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

Add '-30ln' to each side of the equation.
-4ln + -30ln + 7lnx = 30ln + -30ln

Combine like terms: -4ln + -30ln = -34ln
-34ln + 7lnx = 30ln + -30ln

Combine like terms: 30ln + -30ln = 0
-34ln + 7lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-34 + 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 '(-34 + 7x)' equal to zero and attempt to solve:

Simplifying
-34 + 7x = 0

Solving
-34 + 7x = 0

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

Add '34' to each side of the equation.
-34 + 34 + 7x = 0 + 34

Combine like terms: -34 + 34 = 0
0 + 7x = 0 + 34
7x = 0 + 34

Combine like terms: 0 + 34 = 34
7x = 34

Add '-7x' to each side of the equation.
7x + -7x = 34 + -7x

Combine like terms: 7x + -7x = 0
0 = 34 + -7x

Simplifying
0 = 34 + -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:

| Log(5x-1)4=(1/3) | | 4(x+3)+1=12x-9 | | 4m-8=-6+2m | | 9x+13=5x-7 | | 701=x+2y+4z | | -3x-5=3x+5 | | 2y+6=-2x | | 36*9+(36*4*9)-9= | | 4as-u^2=u | | 1150=16t^2 | | x*2=210 | | 9=11(12-y) | | (x+9x)-9= | | 12+7x+4=8x+x | | 64a^4-67a=0 | | x^2+kx+8= | | t^2+5t+7=0 | | 5(x)*6(x)*8(x)=480 | | 6x+y=33 | | 3(x+2)-1=x+7-4 | | 2y+24=-3y-1 | | (9x+9*4x)-9=4 | | 15x-30=11-10-x | | 7c-.6=.5 | | 9a-4=9a-33 | | A=x+9+z | | -5x-10=-3x | | x=27/64 | | 11+.7n=4 | | 2x+75=-3+5 | | 2(52+x)=2(5x-19) | | 2x+75=3x+5 |

Equations solver categories