3*lgx=lg*10

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Solution for 3*lgx=lg*10 equation:


Simplifying
3lgx = lg * 10

Reorder the terms for easier multiplication:
3glx = 10gl

Solving
3glx = 10gl

Solving for variable 'g'.

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

Add '-10gl' to each side of the equation.
-10gl + 3glx = 10gl + -10gl

Combine like terms: 10gl + -10gl = 0
-10gl + 3glx = 0

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