lg^2x-lg(100x)=0

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Solution for lg^2x-lg(100x)=0 equation:


Simplifying
lg2x + -1lg(100x) = 0

Remove parenthesis around (100x)
g2lx + -1gl * 100x = 0

Reorder the terms for easier multiplication:
g2lx + -1 * 100gl * x = 0

Multiply -1 * 100
g2lx + -100gl * x = 0

Multiply gl * x
g2lx + -100glx = 0

Reorder the terms:
-100glx + g2lx = 0

Solving
-100glx + g2lx = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), 'glx'.
glx(-100 + g) = 0

Subproblem 1

Set the factor 'glx' equal to zero and attempt to solve: Simplifying glx = 0 Solving glx = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glx = 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 '(-100 + g)' equal to zero and attempt to solve: Simplifying -100 + g = 0 Solving -100 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 100 + g = 0 + 100 Combine like terms: -100 + 100 = 0 0 + g = 0 + 100 g = 0 + 100 Combine like terms: 0 + 100 = 100 g = 100 Simplifying g = 100

Solution

g = {100}

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