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Simplifying lg(2x) + lg(3x) = lg(36x) Remove parenthesis around (2x) gl * 2x + lg(3x) = lg(36x) Reorder the terms for easier multiplication: 2gl * x + lg(3x) = lg(36x) Multiply gl * x 2glx + lg(3x) = lg(36x) Remove parenthesis around (3x) 2glx + gl * 3x = lg(36x) Reorder the terms for easier multiplication: 2glx + 3gl * x = lg(36x) Multiply gl * x 2glx + 3glx = lg(36x) Combine like terms: 2glx + 3glx = 5glx 5glx = lg(36x) Remove parenthesis around (36x) 5glx = gl * 36x Reorder the terms for easier multiplication: 5glx = 36gl * x Multiply gl * x 5glx = 36glx Solving 5glx = 36glx Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-36glx' to each side of the equation. 5glx + -36glx = 36glx + -36glx Combine like terms: 5glx + -36glx = -31glx -31glx = 36glx + -36glx Combine like terms: 36glx + -36glx = 0 -31glx = 0 Divide each side by '-31'. glx = 0 Simplifying glx = 0 The solution to this equation could not be determined.
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