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Simplifying lg(x) = 2lg(8) Multiply gl * x glx = 2lg(8) Reorder the terms for easier multiplication: glx = 2 * 8gl Multiply 2 * 8 glx = 16gl Solving glx = 16gl Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-16gl' to each side of the equation. -16gl + glx = 16gl + -16gl Combine like terms: 16gl + -16gl = 0 -16gl + glx = 0 Factor out the Greatest Common Factor (GCF), 'gl'. gl(-16 + x) = 0Subproblem 1
Set the factor 'gl' equal to zero and attempt to solve: Simplifying gl = 0 Solving gl = 0 Move all terms containing g to the left, all other terms to the right. Simplifying gl = 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 '(-16 + x)' equal to zero and attempt to solve: Simplifying -16 + x = 0 Solving -16 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + x = 0 + 16 x = 0 + 16 Combine like terms: 0 + 16 = 16 x = 16 Add '-1x' to each side of the equation. x + -1x = 16 + -1x Combine like terms: x + -1x = 0 0 = 16 + -1x Simplifying 0 = 16 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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