-4+5ln(10v+1)=1

Solution for -4+5ln(10v+1)=1 equation:

Simplifying
-4 + 5ln(10v + 1) = 1

Reorder the terms:
-4 + 5ln(1 + 10v) = 1
-4 + (1 * 5ln + 10v * 5ln) = 1
-4 + (5ln + 50lnv) = 1

Solving
-4 + 5ln + 50lnv = 1

Solving for variable 'l'.

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

Add '4' to each side of the equation.
-4 + 5ln + 4 + 50lnv = 1 + 4

Reorder the terms:
-4 + 4 + 5ln + 50lnv = 1 + 4

Combine like terms: -4 + 4 = 0
0 + 5ln + 50lnv = 1 + 4
5ln + 50lnv = 1 + 4

Combine like terms: 1 + 4 = 5
5ln + 50lnv = 5

Reorder the terms:
-5 + 5ln + 50lnv = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + 5ln + 50lnv = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-1 + ln + 10lnv) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-1 + ln + 10lnv)' equal to zero and attempt to solve:

Simplifying
-1 + ln + 10lnv = 0

Solving
-1 + ln + 10lnv = 0

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

Add '1' to each side of the equation.
-1 + ln + 1 + 10lnv = 0 + 1

Reorder the terms:
-1 + 1 + ln + 10lnv = 0 + 1

Combine like terms: -1 + 1 = 0
0 + ln + 10lnv = 0 + 1
ln + 10lnv = 0 + 1

Combine like terms: 0 + 1 = 1
ln + 10lnv = 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.