g(x)=log(0.4x)

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Solution for g(x)=log(0.4x) equation: 


Simplifying
g(x) = log(0.4x)

Multiply g * x
gx = log(0.4x)

Remove parenthesis around (0.4x)
gx = glo * 0.4x

Reorder the terms for easier multiplication:
gx = 0.4glo * x

Multiply glo * x
gx = 0.4glox

Solving
gx = 0.4glox

Solving for variable 'g'.

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

Add '-0.4glox' to each side of the equation.
-0.4glox + gx = 0.4glox + -0.4glox

Combine like terms: 0.4glox + -0.4glox = 0.0
-0.4glox + gx = 0.0

Factor out the Greatest Common Factor (GCF), 'gx'.
gx(-0.4lo + 1) = 0.0


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

Simplifying
gx = 0

Solving
gx = 0

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

Simplifying
gx = 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 '(-0.4lo + 1)' equal to zero and attempt to solve:

Simplifying
-0.4lo + 1 = 0

Reorder the terms:
1 + -0.4lo = 0

Solving
1 + -0.4lo = 0

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

Add '-1' to each side of the equation.
1 + -1 + -0.4lo = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.4lo = 0 + -1
-0.4lo = 0 + -1

Combine like terms: 0 + -1 = -1
-0.4lo = -1

Add '0.4lo' to each side of the equation.
-0.4lo + 0.4lo = -1 + 0.4lo

Combine like terms: -0.4lo + 0.4lo = 0.0
0.0 = -1 + 0.4lo

Simplifying
0.0 = -1 + 0.4lo

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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