log(3)[5x+4]=log[5]

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Solution for log(3)[5x+4]=log[5] equation: 


Simplifying
log(3)[5x + 4] = log[5]

Reorder the terms:
glo * 3[4 + 5x] = log[5]

Reorder the terms for easier multiplication:
3glo[4 + 5x] = log[5]
[4 * 3glo + 5x * 3glo] = log[5]
[12glo + 15glox] = log[5]

Reorder the terms for easier multiplication:
12glo + 15glox = 5glo

Solving
12glo + 15glox = 5glo

Solving for variable 'g'.

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

Add '-5glo' to each side of the equation.
12glo + -5glo + 15glox = 5glo + -5glo

Combine like terms: 12glo + -5glo = 7glo
7glo + 15glox = 5glo + -5glo

Combine like terms: 5glo + -5glo = 0
7glo + 15glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(7 + 15x) = 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 '(7 + 15x)' equal to zero and attempt to solve:

Simplifying
7 + 15x = 0

Solving
7 + 15x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 15x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 15x = 0 + -7
15x = 0 + -7

Combine like terms: 0 + -7 = -7
15x = -7

Add '-15x' to each side of the equation.
15x + -15x = -7 + -15x

Combine like terms: 15x + -15x = 0
0 = -7 + -15x

Simplifying
0 = -7 + -15x

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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