log[5]26=log[5]p

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Solution for log[5]26=log[5]p equation:


Simplifying
log[5] * 26 = log[5] * p

Reorder the terms for easier multiplication:
5 * 26glo = log[5] * p

Multiply 5 * 26
130glo = log[5] * p

Reorder the terms for easier multiplication:
130glo = 5glo * p

Multiply glo * p
130glo = 5glop

Solving
130glo = 5glop

Solving for variable 'g'.

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

Add '-5glop' to each side of the equation.
130glo + -5glop = 5glop + -5glop

Combine like terms: 5glop + -5glop = 0
130glo + -5glop = 0

Factor out the Greatest Common Factor (GCF), '5glo'.
5glo(26 + -1p) = 0

Ignore the factor 5.

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 '(26 + -1p)' equal to zero and attempt to solve: Simplifying 26 + -1p = 0 Solving 26 + -1p = 0 Move all terms containing g to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -1p = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -1p = 0 + -26 -1p = 0 + -26 Combine like terms: 0 + -26 = -26 -1p = -26 Add 'p' to each side of the equation. -1p + p = -26 + p Combine like terms: -1p + p = 0 0 = -26 + p Simplifying 0 = -26 + p 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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