ln(7x+32)+ln(4)=(2)lnx

Simple and best practice solution for ln(7x+32)+ln(4)=(2)lnx 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(7x+32)+ln(4)=(2)lnx equation: 


Simplifying
ln(7x + 32) + ln(4) = (2) * lnx

Reorder the terms:
ln(32 + 7x) + ln(4) = (2) * lnx
(32 * ln + 7x * ln) + ln(4) = (2) * lnx
(32ln + 7lnx) + ln(4) = (2) * lnx

Reorder the terms for easier multiplication:
32ln + 7lnx + 4ln = (2) * lnx

Reorder the terms:
32ln + 4ln + 7lnx = (2) * lnx

Combine like terms: 32ln + 4ln = 36ln
36ln + 7lnx = (2) * lnx

Solving
36ln + 7lnx = 2lnx

Solving for variable 'l'.

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

Add '-2lnx' to each side of the equation.
36ln + 7lnx + -2lnx = 2lnx + -2lnx

Combine like terms: 7lnx + -2lnx = 5lnx
36ln + 5lnx = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
36ln + 5lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(36 + 5x) = 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 '(36 + 5x)' equal to zero and attempt to solve:

Simplifying
36 + 5x = 0

Solving
36 + 5x = 0

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

Add '-36' to each side of the equation.
36 + -36 + 5x = 0 + -36

Combine like terms: 36 + -36 = 0
0 + 5x = 0 + -36
5x = 0 + -36

Combine like terms: 0 + -36 = -36
5x = -36

Add '-5x' to each side of the equation.
5x + -5x = -36 + -5x

Combine like terms: 5x + -5x = 0
0 = -36 + -5x

Simplifying
0 = -36 + -5x

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:

| 0.9=-logx | | 3(3x+2x)+1x= | | 1/6-3/2x=1/5x | | 2+3N=90+N | | 4x+4+7m=180 | | (2x-10)/(3x-6) | | 48=3*2a | | G(x)=9x-13 | | y^4+14y^2-12y=0 | | 2v-24=4(v-5) | | y-0=-1(x-2) | | V^2+5v+3=0 | | 4n^2+n-5=0 | | 5w-10-3w=6-4w | | p=2(w+2)+2w | | 15/4-2 | | 35.00=x-0.30x | | x=-28+2(y-31) | | 4(x-3)=-8(x+1)+14 | | 256.00=x-0.20x | | (1/3)x=(1/2)x-3 | | 1/3x=1/2x-3 | | 30a-9b-1(4a-8b)= | | 60-17x=48+3x | | 9(x+9)-3(x+7)= | | 7-7y=9-8y | | 2(5+4)=2(3m-10) | | 4(3k+2)+2(k+7)= | | Log(6)(5x-4)=2 | | 9(2w+5)-2(w+9)= | | 6+2(y-6)=21 | | 2(ln)3+ln(x)=4 |

Equations solver categories