((3)ln(5x))+((8)ln(x^4))-(ln(x^7))=

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Solution for ((3)ln(5x))+((8)ln(x^4))-(ln(x^7))= equation:


Simplifying
((3) * ln(5x)) + ((8) * ln(x4)) + -1(ln(x7)) = 0

Remove parenthesis around (5x)
(3ln * 5x) + ((8) * ln(x4)) + -1(ln(x7)) = 0

Reorder the terms for easier multiplication:
(3 * 5ln * x) + ((8) * ln(x4)) + -1(ln(x7)) = 0

Multiply 3 * 5
(15ln * x) + ((8) * ln(x4)) + -1(ln(x7)) = 0

Multiply ln * x
(15lnx) + ((8) * ln(x4)) + -1(ln(x7)) = 0

Multiply ln * x4
(15lnx) + (8lnx4) + -1(ln(x7)) = 0

Multiply ln * x7
(15lnx) + (8lnx4) + -1(lnx7) = 0

Solving
(15lnx) + (8lnx4) + -1lnx7 = 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), 'lnx'.
lnx(15 + (8x3) + -1x6) = 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 '(15 + (8x3) + -1x6)' equal to zero and attempt to solve: Simplifying 15 + (8x3) + -1x6 = 0 Solving 15 + (8x3) + -1x6 = 0 Move all terms containing l to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + (8x3) + -15 + -1x6 = 0 + -15 Reorder the terms: 15 + -15 + (8x3) + -1x6 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + (8x3) + -1x6 = 0 + -15 (8x3) + -1x6 = 0 + -15 Combine like terms: 0 + -15 = -15 (8x3) + -1x6 = -15 Add '(-8x3)' to each side of the equation. (8x3) + (-8x3) + -1x6 = -15 + (-8x3) Combine like terms: (8x3) + (-8x3) = 0 0 + -1x6 = -15 + (-8x3) -1x6 = -15 + (-8x3) Add 'x6' to each side of the equation. -1x6 + x6 = -15 + (-8x3) + x6 Combine like terms: -1x6 + x6 = 0 0 = -15 + (-8x3) + x6 Simplifying 0 = -15 + (-8x3) + x6 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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