ln(9x)=2ln(7x)findx

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Solution for ln(9x)=2ln(7x)findx equation:


Simplifying
ln(9x) = 2ln(7x) * findx

Remove parenthesis around (9x)
ln * 9x = 2ln(7x) * findx

Reorder the terms for easier multiplication:
9ln * x = 2ln(7x) * findx

Multiply ln * x
9lnx = 2ln(7x) * findx

Remove parenthesis around (7x)
9lnx = 2ln * 7x * findx

Reorder the terms for easier multiplication:
9lnx = 2 * 7ln * x * dfinx

Multiply 2 * 7
9lnx = 14ln * x * dfinx

Multiply ln * x
9lnx = 14lnx * dfinx

Multiply lnx * dfinx
9lnx = 14dfiln2x2

Solving
9lnx = 14dfiln2x2

Solving for variable 'l'.

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

Add '-14dfiln2x2' to each side of the equation.
-14dfiln2x2 + 9lnx = 14dfiln2x2 + -14dfiln2x2

Combine like terms: 14dfiln2x2 + -14dfiln2x2 = 0
-14dfiln2x2 + 9lnx = 0

Factor out the Greatest Common Factor (GCF), 'lnx'.
lnx(-14dfinx + 9) = 0

Subproblem 1

Set the factor 'lnx' equal to zero and attempt to solve: Simplifying lnx = 0 Solving lnx = 0 Move all terms containing l to the left, all other terms to the right. Simplifying lnx = 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 '(-14dfinx + 9)' equal to zero and attempt to solve: Simplifying -14dfinx + 9 = 0 Reorder the terms: 9 + -14dfinx = 0 Solving 9 + -14dfinx = 0 Move all terms containing l to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -14dfinx = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -14dfinx = 0 + -9 -14dfinx = 0 + -9 Combine like terms: 0 + -9 = -9 -14dfinx = -9 Add '14dfinx' to each side of the equation. -14dfinx + 14dfinx = -9 + 14dfinx Combine like terms: -14dfinx + 14dfinx = 0 0 = -9 + 14dfinx Simplifying 0 = -9 + 14dfinx 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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