4nlog(5)=log(26)

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Solution for 4nlog(5)=log(26) equation:


Simplifying
4nlog(5) = log(26)

Reorder the terms for easier multiplication:
4 * 5glno = log(26)

Multiply 4 * 5
20glno = log(26)

Reorder the terms for easier multiplication:
20glno = 26glo

Solving
20glno = 26glo

Solving for variable 'g'.

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

Add '-26glo' to each side of the equation.
20glno + -26glo = 26glo + -26glo

Combine like terms: 26glo + -26glo = 0
20glno + -26glo = 0

Factor out the Greatest Common Factor (GCF), '2glo'.
2glo(10n + -13) = 0

Ignore the factor 2.

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 '(10n + -13)' equal to zero and attempt to solve: Simplifying 10n + -13 = 0 Reorder the terms: -13 + 10n = 0 Solving -13 + 10n = 0 Move all terms containing g to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 10n = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 10n = 0 + 13 10n = 0 + 13 Combine like terms: 0 + 13 = 13 10n = 13 Add '-10n' to each side of the equation. 10n + -10n = 13 + -10n Combine like terms: 10n + -10n = 0 0 = 13 + -10n Simplifying 0 = 13 + -10n 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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