logaf(x)=loga*g(x)

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Solution for logaf(x)=loga*g(x) equation: 


Simplifying
logaf(x) = loga * g(x)

Multiply afglo * x
afglox = loga * g(x)

Multiply aglo * g
afglox = ag2lo * x

Multiply ag2lo * x
afglox = ag2lox

Solving
afglox = ag2lox

Solving for variable 'a'.

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

Add '-1ag2lox' to each side of the equation.
afglox + -1ag2lox = ag2lox + -1ag2lox

Combine like terms: ag2lox + -1ag2lox = 0
afglox + -1ag2lox = 0

Factor out the Greatest Common Factor (GCF), 'aglox'.
aglox(f + -1g) = 0


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

Simplifying
aglox = 0

Solving
aglox = 0

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

Simplifying
aglox = 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 '(f + -1g)' equal to zero and attempt to solve:

Simplifying
f + -1g = 0

Solving
f + -1g = 0

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

Add '-1f' to each side of the equation.
f + -1f + -1g = 0 + -1f

Combine like terms: f + -1f = 0
0 + -1g = 0 + -1f
-1g = 0 + -1f
Remove the zero:
-1g = -1f

Add 'g' to each side of the equation.
-1g + g = -1f + g

Combine like terms: -1g + g = 0
0 = -1f + g

Simplifying
0 = -1f + g

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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