Question: Write a C++ program that calculates the logarithm of a given number with a specified base. Your program should take two inputs from the user: the number and the base. Then, it should calculate and display the result.

Here are the steps to follow:

1. Prompt the user to enter a positive number (num) and a positive base (base).
2. Check if both num and base are positive. If not, display an error message and terminate the program.
3. Calculate the logarithm using the formula: log_base(num) = log(num) / log(base).
4. Display the result with 2 decimal places.

Your program should handle input validation and error checking to ensure that the user enters valid positive numbers for both the number and the base.

Example Output:

Enter a positive number: 25 Enter a positive base: 5 The logarithm of 25 with base 5 is 2.00