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Simplifying lg2x = lg(100x) Remove parenthesis around (100x) g2lx = gl * 100x Reorder the terms for easier multiplication: g2lx = 100gl * x Multiply gl * x g2lx = 100glx Solving g2lx = 100glx Solving for variable 'g'. Reorder the terms: -100glx + g2lx = 100glx + -100glx Combine like terms: 100glx + -100glx = 0 -100glx + g2lx = 0 Factor out the Greatest Common Factor (GCF), 'glx'. glx(-100 + g) = 0Subproblem 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 = 100Solution
g = {100}
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