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Simplifying Logb(2x + 3) + -1logb(3x + 2) = 0 Reorder the terms: bgoL(3 + 2x) + -1logb(3x + 2) = 0 (3 * bgoL + 2x * bgoL) + -1logb(3x + 2) = 0 (3bgoL + 2bgoxL) + -1logb(3x + 2) = 0 Reorder the terms: 3bgoL + 2bgoxL + -1bglo(2 + 3x) = 0 3bgoL + 2bgoxL + (2 * -1bglo + 3x * -1bglo) = 0 3bgoL + 2bgoxL + (-2bglo + -3bglox) = 0 Reorder the terms: -2bglo + -3bglox + 3bgoL + 2bgoxL = 0 Solving -2bglo + -3bglox + 3bgoL + 2bgoxL = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'bgo'. bgo(-2l + -3lx + 3L + 2xL) = 0Subproblem 1
Set the factor 'bgo' equal to zero and attempt to solve: Simplifying bgo = 0 Solving bgo = 0 Move all terms containing b to the left, all other terms to the right. Simplifying bgo = 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 '(-2l + -3lx + 3L + 2xL)' equal to zero and attempt to solve: Simplifying -2l + -3lx + 3L + 2xL = 0 Reorder the terms: 3L + -2l + -3lx + 2xL = 0 Solving 3L + -2l + -3lx + 2xL = 0 Move all terms containing b to the left, all other terms to the right. Add '-3L' to each side of the equation. 3L + -2l + -3lx + -3L + 2xL = 0 + -3L Reorder the terms: 3L + -3L + -2l + -3lx + 2xL = 0 + -3L Combine like terms: 3L + -3L = 0 0 + -2l + -3lx + 2xL = 0 + -3L -2l + -3lx + 2xL = 0 + -3L Remove the zero: -2l + -3lx + 2xL = -3L Add '2l' to each side of the equation. -2l + -3lx + 2l + 2xL = -3L + 2l Reorder the terms: -2l + 2l + -3lx + 2xL = -3L + 2l Combine like terms: -2l + 2l = 0 0 + -3lx + 2xL = -3L + 2l -3lx + 2xL = -3L + 2l Add '3lx' to each side of the equation. -3lx + 3lx + 2xL = -3L + 2l + 3lx Combine like terms: -3lx + 3lx = 0 0 + 2xL = -3L + 2l + 3lx 2xL = -3L + 2l + 3lx Add '-2xL' to each side of the equation. 2xL + -2xL = -3L + 2l + 3lx + -2xL Combine like terms: 2xL + -2xL = 0 0 = -3L + 2l + 3lx + -2xL Simplifying 0 = -3L + 2l + 3lx + -2xL 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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