Home Lessons Calculators Worksheets Resources Feedback Algebra Tutors

# Calculator Output

```Simplifying
ln(5) * x + -1ln(2x + -1) = ln(4)

Reorder the terms for easier multiplication:
5ln * x + -1ln(2x + -1) = ln(4)

Multiply ln * x
5lnx + -1ln(2x + -1) = ln(4)

Reorder the terms:
5lnx + -1ln(-1 + 2x) = ln(4)
5lnx + (-1 * -1ln + 2x * -1ln) = ln(4)
5lnx + (1ln + -2lnx) = ln(4)

Reorder the terms:
1ln + 5lnx + -2lnx = ln(4)

Combine like terms: 5lnx + -2lnx = 3lnx
1ln + 3lnx = ln(4)

Reorder the terms for easier multiplication:
1ln + 3lnx = 4ln

Solving
1ln + 3lnx = 4ln

Solving for variable 'l'.

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

Add '-4ln' to each side of the equation.
1ln + -4ln + 3lnx = 4ln + -4ln

Combine like terms: 1ln + -4ln = -3ln
-3ln + 3lnx = 4ln + -4ln

Combine like terms: 4ln + -4ln = 0
-3ln + 3lnx = 0

Factor out the Greatest Common Factor (GCF), '3ln'.
3ln(-1 + x) = 0

Ignore the factor 3.
Subproblem 1Set 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 2Set the factor '(-1 + x)' equal to zero and attempt to solve:

Simplifying
-1 + x = 0

Solving
-1 + x = 0

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

Add '1' to each side of the equation.
-1 + 1 + x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + x = 0 + 1
x = 0 + 1

Combine like terms: 0 + 1 = 1
x = 1

Add '-1x' to each side of the equation.
x + -1x = 1 + -1x

Combine like terms: x + -1x = 0
0 = 1 + -1x

Simplifying
0 = 1 + -1x

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.```
Processing time: 1 ms. 59974416 equations since February 08, 2004.   Disclaimer

# Equation Calculator & Solver

 Equation: Variable: a A b B c C d D e E f F g G h H i I j J k K l L m M n N o O p P q Q r R s S t T u U v V w W x X y Y z Z AUTO
Hint: Selecting "AUTO" in the variable box will make the calculator automatically solve for the first variable it sees.

 Home Lessons Calculators Worksheets Resources Feedback Algebra Tutors © Copyright 2001-2011 info @ algebrahelp.com