ln(x)+ln(6x-1)=0

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Solution for ln(x)+ln(6x-1)=0 equation:


Simplifying
ln(x) + ln(6x + -1) = 0

Multiply ln * x
lnx + ln(6x + -1) = 0

Reorder the terms:
lnx + ln(-1 + 6x) = 0
lnx + (-1 * ln + 6x * ln) = 0
lnx + (-1ln + 6lnx) = 0

Reorder the terms:
-1ln + lnx + 6lnx = 0

Combine like terms: lnx + 6lnx = 7lnx
-1ln + 7lnx = 0

Solving
-1ln + 7lnx = 0

Solving for variable 'l'.

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

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-1 + 7x) = 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 '(-1 + 7x)' equal to zero and attempt to solve: Simplifying -1 + 7x = 0 Solving -1 + 7x = 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 + 7x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 7x = 0 + 1 7x = 0 + 1 Combine like terms: 0 + 1 = 1 7x = 1 Add '-7x' to each side of the equation. 7x + -7x = 1 + -7x Combine like terms: 7x + -7x = 0 0 = 1 + -7x Simplifying 0 = 1 + -7x 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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