ln(4x-1)+ln(2)=ln(30)

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Solution for ln(4x-1)+ln(2)=ln(30) equation: 


Simplifying
ln(4x + -1) + ln(2) = ln(30)

Reorder the terms:
ln(-1 + 4x) + ln(2) = ln(30)
(-1 * ln + 4x * ln) + ln(2) = ln(30)
(-1ln + 4lnx) + ln(2) = ln(30)

Reorder the terms for easier multiplication:
-1ln + 4lnx + 2ln = ln(30)

Reorder the terms:
-1ln + 2ln + 4lnx = ln(30)

Combine like terms: -1ln + 2ln = 1ln
1ln + 4lnx = ln(30)

Reorder the terms for easier multiplication:
1ln + 4lnx = 30ln

Solving
1ln + 4lnx = 30ln

Solving for variable 'l'.

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

Add '-30ln' to each side of the equation.
1ln + -30ln + 4lnx = 30ln + -30ln

Combine like terms: 1ln + -30ln = -29ln
-29ln + 4lnx = 30ln + -30ln

Combine like terms: 30ln + -30ln = 0
-29ln + 4lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-29 + 4x) = 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 '(-29 + 4x)' equal to zero and attempt to solve:

Simplifying
-29 + 4x = 0

Solving
-29 + 4x = 0

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

Add '29' to each side of the equation.
-29 + 29 + 4x = 0 + 29

Combine like terms: -29 + 29 = 0
0 + 4x = 0 + 29
4x = 0 + 29

Combine like terms: 0 + 29 = 29
4x = 29

Add '-4x' to each side of the equation.
4x + -4x = 29 + -4x

Combine like terms: 4x + -4x = 0
0 = 29 + -4x

Simplifying
0 = 29 + -4x

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.

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