Derivative of 3log(2)(4x+5)

1. The derivative of a constant times a function is the constant times the derivative of the function.

   1. Differentiate $4 x + 5$ term by term:

      1. The derivative of a constant times a function is the constant times the derivative of the function.

         1. Apply the power rule: $x$ goes to $1$

         So, the result is: $4$

      2. The derivative of the constant $5$ is zero.

      The result is: $4$

   So, the result is: $12 \log{\left(2 \right)}$

2. Now simplify:

   $$\log{\left(4096 \right)}$$

The answer is:

$$\log{\left(4096 \right)}$$