Derivative of log(10)*(2x+7)

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

   1. Differentiate $2 x + 7$ 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: $2$

      2. The derivative of the constant $7$ is zero.

      The result is: $2$

   So, the result is: $2 \log{\left(10 \right)}$

2. Now simplify:

   $$\log{\left(100 \right)}$$

The answer is:

$$\log{\left(100 \right)}$$