Ln(5n+7)=ln(2n+10)

Simple and best practice solution for Ln(5n+7)=ln(2n+10) 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(5n+7)=ln(2n+10) equation: 


Simplifying
Ln(5n + 7) = ln(2n + 10)

Reorder the terms:
nL(7 + 5n) = ln(2n + 10)
(7 * nL + 5n * nL) = ln(2n + 10)
(7nL + 5n2L) = ln(2n + 10)

Reorder the terms:
7nL + 5n2L = ln(10 + 2n)
7nL + 5n2L = (10 * ln + 2n * ln)
7nL + 5n2L = (10ln + 2ln2)

Solving
7nL + 5n2L = 10ln + 2ln2

Solving for variable 'n'.

Reorder the terms:
-10ln + -2ln2 + 7nL + 5n2L = 10ln + 2ln2 + -10ln + -2ln2

Reorder the terms:
-10ln + -2ln2 + 7nL + 5n2L = 10ln + -10ln + 2ln2 + -2ln2

Combine like terms: 10ln + -10ln = 0
-10ln + -2ln2 + 7nL + 5n2L = 0 + 2ln2 + -2ln2
-10ln + -2ln2 + 7nL + 5n2L = 2ln2 + -2ln2

Combine like terms: 2ln2 + -2ln2 = 0
-10ln + -2ln2 + 7nL + 5n2L = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-10l + -2ln + 7L + 5nL) = 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 '(-10l + -2ln + 7L + 5nL)' equal to zero and attempt to solve:

Simplifying
-10l + -2ln + 7L + 5nL = 0

Reorder the terms:
7L + -10l + -2ln + 5nL = 0

Solving
7L + -10l + -2ln + 5nL = 0

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

Add '-7L' to each side of the equation.
7L + -10l + -2ln + -7L + 5nL = 0 + -7L

Reorder the terms:
7L + -7L + -10l + -2ln + 5nL = 0 + -7L

Combine like terms: 7L + -7L = 0
0 + -10l + -2ln + 5nL = 0 + -7L
-10l + -2ln + 5nL = 0 + -7L
Remove the zero:
-10l + -2ln + 5nL = -7L

Add '10l' to each side of the equation.
-10l + -2ln + 10l + 5nL = -7L + 10l

Reorder the terms:
-10l + 10l + -2ln + 5nL = -7L + 10l

Combine like terms: -10l + 10l = 0
0 + -2ln + 5nL = -7L + 10l
-2ln + 5nL = -7L + 10l

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:

| x^2-4x+24=-4x-4 | | -3x+6y=4 | | 4ln(6p)=4 | | logx=log(x^2-1) | | 5e^3x=22 | | 3r+2r-1= | | 2x+2y+5=0 | | x^2+x^2=65 | | 11x-11=8x+3 | | -4.905t^2+12t+25=0 | | 2sinx=5cosx-1 | | 8(2p-3)=4p-9 | | 4(3x-11)=17 | | 5a+6=3a+14 | | (2a-i)x-(2a+i)=0 | | 2xdy+ydx=0 | | x*x+8x+12= | | 5(w-4)+3w-8=6(w-4) | | 2x-8=x+15 | | -10(s+5)=-33 | | 4(m-7)=5(m+8) | | 3e^2+20e-7= | | 4p+5q=33 | | 4a-2a/5=18 | | 18x1/3 | | 3x^2-3x-4x-6=0 | | 3D+D+4d-8d= | | y*1/8=128 | | 21/3x18 | | 5y+8=2y-10 | | 24/x-3=3 | | (7x+7)5y=140 |

Equations solver categories