log(4p+1)+log(p)=log(3)

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Solution for log(4p+1)+log(p)=log(3) equation: 


Simplifying
log(4p + 1) + log(p) = log(3)

Reorder the terms:
glo(1 + 4p) + log(p) = log(3)
(1 * glo + 4p * glo) + log(p) = log(3)
(1glo + 4glop) + log(p) = log(3)

Multiply glo * p
1glo + 4glop + glop = log(3)

Combine like terms: 4glop + glop = 5glop
1glo + 5glop = log(3)

Reorder the terms for easier multiplication:
1glo + 5glop = 3glo

Solving
1glo + 5glop = 3glo

Solving for variable 'g'.

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

Add '-3glo' to each side of the equation.
1glo + -3glo + 5glop = 3glo + -3glo

Combine like terms: 1glo + -3glo = -2glo
-2glo + 5glop = 3glo + -3glo

Combine like terms: 3glo + -3glo = 0
-2glo + 5glop = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-2 + 5p) = 0


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 '(-2 + 5p)' equal to zero and attempt to solve:

Simplifying
-2 + 5p = 0

Solving
-2 + 5p = 0

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

Add '2' to each side of the equation.
-2 + 2 + 5p = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 5p = 0 + 2
5p = 0 + 2

Combine like terms: 0 + 2 = 2
5p = 2

Add '-5p' to each side of the equation.
5p + -5p = 2 + -5p

Combine like terms: 5p + -5p = 0
0 = 2 + -5p

Simplifying
0 = 2 + -5p

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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