Logx=log(10x-3)

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


Simplifying
Logx = log(10x + -3)

Reorder the terms:
goxL = glo(-3 + 10x)
goxL = (-3 * glo + 10x * glo)
goxL = (-3glo + 10glox)

Solving
goxL = -3glo + 10glox

Solving for variable 'g'.

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

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

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

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

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

Factor out the Greatest Common Factor (GCF), 'go'.
go(3l + -10lx + xL) = 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 '(3l + -10lx + xL)' equal to zero and attempt to solve: Simplifying 3l + -10lx + xL = 0 Solving 3l + -10lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-3l' to each side of the equation. 3l + -10lx + -3l + xL = 0 + -3l Reorder the terms: 3l + -3l + -10lx + xL = 0 + -3l Combine like terms: 3l + -3l = 0 0 + -10lx + xL = 0 + -3l -10lx + xL = 0 + -3l Remove the zero: -10lx + xL = -3l Add '10lx' to each side of the equation. -10lx + 10lx + xL = -3l + 10lx Combine like terms: -10lx + 10lx = 0 0 + xL = -3l + 10lx xL = -3l + 10lx Add '-1xL' to each side of the equation. xL + -1xL = -3l + 10lx + -1xL Combine like terms: xL + -1xL = 0 0 = -3l + 10lx + -1xL Simplifying 0 = -3l + 10lx + -1xL 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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