2log(5)+3log(2)+log(8)-3log(6)inlog=

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Solution for 2log(5)+3log(2)+log(8)-3log(6)inlog= equation:


Simplifying
2log(5) + 3log(2) + log(8) + -3log(6) * inlog = 0

Reorder the terms for easier multiplication:
2 * 5glo + 3log(2) + log(8) + -3log(6) * inlog = 0

Multiply 2 * 5
10glo + 3log(2) + log(8) + -3log(6) * inlog = 0

Reorder the terms for easier multiplication:
10glo + 3 * 2glo + log(8) + -3log(6) * inlog = 0

Multiply 3 * 2
10glo + 6glo + log(8) + -3log(6) * inlog = 0

Reorder the terms for easier multiplication:
10glo + 6glo + 8glo + -3log(6) * inlog = 0

Reorder the terms for easier multiplication:
10glo + 6glo + 8glo + -3 * 6glo * gilno = 0

Multiply -3 * 6
10glo + 6glo + 8glo + -18glo * gilno = 0

Multiply glo * gilno
10glo + 6glo + 8glo + -18g2il2no2 = 0

Combine like terms: 10glo + 6glo = 16glo
16glo + 8glo + -18g2il2no2 = 0

Combine like terms: 16glo + 8glo = 24glo
24glo + -18g2il2no2 = 0

Solving
24glo + -18g2il2no2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '6glo'.
6glo(4 + -3gilno) = 0

Ignore the factor 6.

Subproblem 1

Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 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 '(4 + -3gilno)' equal to zero and attempt to solve: Simplifying 4 + -3gilno = 0 Solving 4 + -3gilno = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3gilno = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3gilno = 0 + -4 -3gilno = 0 + -4 Combine like terms: 0 + -4 = -4 -3gilno = -4 Divide each side by '-3ilno'. g = 1.333333333i-1l-1n-1o-1 Simplifying g = 1.333333333i-1l-1n-1o-1

Solution

g = {1.333333333i-1l-1n-1o-1}

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