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Simplifying logbase(3x + -5) * 16 = 2 Reorder the terms: abeglos(-5 + 3x) * 16 = 2 Reorder the terms for easier multiplication: 16abeglos(-5 + 3x) = 2 (-5 * 16abeglos + 3x * 16abeglos) = 2 (-80abeglos + 48abeglosx) = 2 Solving -80abeglos + 48abeglosx = 2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Reorder the terms: -2 + -80abeglos + 48abeglosx = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + -80abeglos + 48abeglosx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + -40abeglos + 24abeglosx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -40abeglos + 24abeglosx)' equal to zero and attempt to solve: Simplifying -1 + -40abeglos + 24abeglosx = 0 Solving -1 + -40abeglos + 24abeglosx = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -40abeglos + 1 + 24abeglosx = 0 + 1 Reorder the terms: -1 + 1 + -40abeglos + 24abeglosx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -40abeglos + 24abeglosx = 0 + 1 -40abeglos + 24abeglosx = 0 + 1 Combine like terms: 0 + 1 = 1 -40abeglos + 24abeglosx = 1 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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