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Since the logarithms have the same base and are equal, their arguments must be equal.

Chemistry

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Here are the solutions to the logarithm equations:

13) log⁡(16+2b)=log⁡(b2−4b)\log (16+2b) = \log (b^2-4b)

  1. Since the logarithms have the same base and are equal, their arguments must be equal.

    16+2b=b2−4b16+2b = b^2-4b
  2. Rearrange the equation into a standard quadratic form.

    b2−4b−2b−16=0b^2 - 4b - 2b - 16 = 0 b2−6b−16=0b^2 - 6b - 16 = 0
  3. Factor the quadratic equation.

    (b−8)(b+2)=0(b-8)(b+2) = 0
  4. Solve for bb.

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