In(5x-7)=Ln(4x+5)

Simple and best practice solution for In(5x-7)=Ln(4x+5) 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 In(5x-7)=Ln(4x+5) equation: 


Simplifying
In(5x + -7) = Ln(4x + 5)

Reorder the terms:
nI(-7 + 5x) = Ln(4x + 5)
(-7 * nI + 5x * nI) = Ln(4x + 5)
(-7nI + 5nxI) = Ln(4x + 5)

Reorder the terms:
-7nI + 5nxI = nL(5 + 4x)
-7nI + 5nxI = (5 * nL + 4x * nL)
-7nI + 5nxI = (5nL + 4nxL)

Solving
-7nI + 5nxI = 5nL + 4nxL

Solving for variable 'n'.

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

Add '-5nL' to each side of the equation.
-7nI + -5nL + 5nxI = 5nL + -5nL + 4nxL

Combine like terms: 5nL + -5nL = 0
-7nI + -5nL + 5nxI = 0 + 4nxL
-7nI + -5nL + 5nxI = 4nxL

Add '-4nxL' to each side of the equation.
-7nI + -5nL + 5nxI + -4nxL = 4nxL + -4nxL

Combine like terms: 4nxL + -4nxL = 0
-7nI + -5nL + 5nxI + -4nxL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-7I + -5L + 5xI + -4xL) = 0


Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0

Subproblem 2
Set the factor '(-7I + -5L + 5xI + -4xL)' equal to zero and attempt to solve:

Simplifying
-7I + -5L + 5xI + -4xL = 0

Solving
-7I + -5L + 5xI + -4xL = 0

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

Add '7I' to each side of the equation.
-7I + -5L + 5xI + 7I + -4xL = 0 + 7I

Reorder the terms:
-7I + 7I + -5L + 5xI + -4xL = 0 + 7I

Combine like terms: -7I + 7I = 0
0 + -5L + 5xI + -4xL = 0 + 7I
-5L + 5xI + -4xL = 0 + 7I
Remove the zero:
-5L + 5xI + -4xL = 7I

Add '5L' to each side of the equation.
-5L + 5xI + 5L + -4xL = 7I + 5L

Reorder the terms:
-5L + 5L + 5xI + -4xL = 7I + 5L

Combine like terms: -5L + 5L = 0
0 + 5xI + -4xL = 7I + 5L
5xI + -4xL = 7I + 5L

Add '-5xI' to each side of the equation.
5xI + -5xI + -4xL = 7I + 5L + -5xI

Combine like terms: 5xI + -5xI = 0
0 + -4xL = 7I + 5L + -5xI
-4xL = 7I + 5L + -5xI

Add '4xL' to each side of the equation.
-4xL + 4xL = 7I + 5L + -5xI + 4xL

Combine like terms: -4xL + 4xL = 0
0 = 7I + 5L + -5xI + 4xL

Simplifying
0 = 7I + 5L + -5xI + 4xL

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
n = {0}

See similar equations:

| 6(n+2)=5(n-3) | | -4(3x+5)=40 | | -72=21(n/7-3) | | 4/5+7/3+10/19 | | x+(x-4)=120 | | 6(m-3)=4(m+2) | | -26.69=b | | 8+6z=2(2z+6) | | 93-27x+12x=-51 | | 16x-8+2x=100 | | -23x-4=96 | | 5(x+3)+x+5=6x+20 | | -3(-7x-7)=126 | | 3(2-3y)=-2 | | 4(-7x-2)=-232 | | 13+q/11=7 | | 5y^2+3y=2 | | 9/5*x=144 | | 4*-7x-2=-232 | | x^2-5c=-9/4 | | ln^2(3x+1)=f(x) | | 6x-3(-7x-4)=-123 | | 4*r=272 | | -5x+4(3x-14)=-140 | | n/8-5=-2 | | X+1=-2x+16 | | 7(x+3)+7x-1=x-6 | | 5x+7=-3+7 | | (3y^2-4y+1)/(y-2) | | 3/4x-1+1/2=5/12x+1/6 | | 4x-11x-5-16= | | 2/5(x^2+1)=x |

Equations solver categories