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Simplifying 2lg(x + 1) = lg(2x + 1) Reorder the terms: 2gl(1 + x) = lg(2x + 1) (1 * 2gl + x * 2gl) = lg(2x + 1) (2gl + 2glx) = lg(2x + 1) Reorder the terms: 2gl + 2glx = gl(1 + 2x) 2gl + 2glx = (1 * gl + 2x * gl) 2gl + 2glx = (1gl + 2glx) Add '-2glx' to each side of the equation. 2gl + 2glx + -2glx = 1gl + 2glx + -2glx Combine like terms: 2glx + -2glx = 0 2gl + 0 = 1gl + 2glx + -2glx 2gl = 1gl + 2glx + -2glx Combine like terms: 2glx + -2glx = 0 2gl = 1gl + 0 2gl = 1gl Solving 2gl = 1gl Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1gl' to each side of the equation. 2gl + -1gl = 1gl + -1gl Combine like terms: 2gl + -1gl = 1gl 1gl = 1gl + -1gl Combine like terms: 1gl + -1gl = 0 1gl = 0 Divide each side by '1'. gl = 0 Simplifying gl = 0 The solution to this equation could not be determined.
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