Log(10-4)=log(10-3x)

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Solution for Log(10-4)=log(10-3x) equation:


Simplifying
Log(10 + -4) = log(10 + -3x)

Combine like terms: 10 + -4 = 6
goL(6) = log(10 + -3x)

Reorder the terms for easier multiplication:
6goL = log(10 + -3x)
6goL = (10 * glo + -3x * glo)
6goL = (10glo + -3glox)

Solving
6goL = 10glo + -3glox

Solving for variable 'g'.

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

Add '-10glo' to each side of the equation.
-10glo + 6goL = 10glo + -10glo + -3glox

Combine like terms: 10glo + -10glo = 0
-10glo + 6goL = 0 + -3glox
-10glo + 6goL = -3glox

Add '3glox' to each side of the equation.
-10glo + 3glox + 6goL = -3glox + 3glox

Combine like terms: -3glox + 3glox = 0
-10glo + 3glox + 6goL = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(-10l + 3lx + 6L) = 0

Subproblem 1

Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 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 '(-10l + 3lx + 6L)' equal to zero and attempt to solve: Simplifying -10l + 3lx + 6L = 0 Reorder the terms: 6L + -10l + 3lx = 0 Solving 6L + -10l + 3lx = 0 Move all terms containing g to the left, all other terms to the right. Add '-6L' to each side of the equation. 6L + -10l + -6L + 3lx = 0 + -6L Reorder the terms: 6L + -6L + -10l + 3lx = 0 + -6L Combine like terms: 6L + -6L = 0 0 + -10l + 3lx = 0 + -6L -10l + 3lx = 0 + -6L Remove the zero: -10l + 3lx = -6L Add '10l' to each side of the equation. -10l + 10l + 3lx = -6L + 10l Combine like terms: -10l + 10l = 0 0 + 3lx = -6L + 10l 3lx = -6L + 10l Add '-3lx' to each side of the equation. 3lx + -3lx = -6L + 10l + -3lx Combine like terms: 3lx + -3lx = 0 0 = -6L + 10l + -3lx Simplifying 0 = -6L + 10l + -3lx 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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