lg(3x)+lg(4x)=lg(15)

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Solution for lg(3x)+lg(4x)=lg(15) equation: 


Simplifying
lg(3x) + lg(4x) = lg(15)

Remove parenthesis around (3x)
gl * 3x + lg(4x) = lg(15)

Reorder the terms for easier multiplication:
3gl * x + lg(4x) = lg(15)

Multiply gl * x
3glx + lg(4x) = lg(15)

Remove parenthesis around (4x)
3glx + gl * 4x = lg(15)

Reorder the terms for easier multiplication:
3glx + 4gl * x = lg(15)

Multiply gl * x
3glx + 4glx = lg(15)

Combine like terms: 3glx + 4glx = 7glx
7glx = lg(15)

Reorder the terms for easier multiplication:
7glx = 15gl

Solving
7glx = 15gl

Solving for variable 'g'.

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

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

Combine like terms: 15gl + -15gl = 0
-15gl + 7glx = 0

Factor out the Greatest Common Factor (GCF), 'gl'.
gl(-15 + 7x) = 0


Subproblem 1
Set the factor 'gl' equal to zero and attempt to solve:

Simplifying
gl = 0

Solving
gl = 0

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

Simplifying
gl = 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 '(-15 + 7x)' equal to zero and attempt to solve:

Simplifying
-15 + 7x = 0

Solving
-15 + 7x = 0

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

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

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

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

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

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

Simplifying
0 = 15 + -7x

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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