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Simplifying lg(x) + lg(x + 7) = 1 + lg(3) Multiply gl * x glx + lg(x + 7) = 1 + lg(3) Reorder the terms: glx + gl(7 + x) = 1 + lg(3) glx + (7 * gl + x * gl) = 1 + lg(3) glx + (7gl + glx) = 1 + lg(3) Reorder the terms: 7gl + glx + glx = 1 + lg(3) Combine like terms: glx + glx = 2glx 7gl + 2glx = 1 + lg(3) Reorder the terms for easier multiplication: 7gl + 2glx = 1 + 3gl Solving 7gl + 2glx = 1 + 3gl Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-3gl' to each side of the equation. 7gl + -3gl + 2glx = 1 + 3gl + -3gl Combine like terms: 7gl + -3gl = 4gl 4gl + 2glx = 1 + 3gl + -3gl Combine like terms: 3gl + -3gl = 0 4gl + 2glx = 1 + 0 4gl + 2glx = 1 Reorder the terms: -1 + 4gl + 2glx = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 4gl + 2glx = 0 The solution to this equation could not be determined.
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