the code works totally fine now! the one problem is I need to free up the memory using delete[] but i still dont know where to use it. if i type the strings too long the program crashes. can anyone help me implement the delete[] in the next couple hours? thanks!

#include <iostream>

using std::cin;
using std::cout;
using std::endl;

void Out(char* string[], int i);  //Initialization of the function 'Out'

int main()
{
    cout << "                            String Database" << endl;
    cout << "         Please type some strings, and the database will sort them" << endl;
    cout << "                  Press control+Z to end the string input" << endl;

    char* string[10] = {0};  //the initialized string
    for(int b=0;b<10;b++)
        string[b]="zzzzzz";
    
    

    for (int i = 0; i < 10; i++)  //i represents the number of strings the user can enter
    {    if(cin.eof())
        {    cout<<"done"<<endl;
            Out(string,i-1);
            exit(0);
        }

        else
        {    char* temp = new char;  //declares 'temp' so that it can be set equal to
                                    //string[i] later on
            cin.getline(temp, 500);    //the user enters his string
        
            if (cin.eof())          //checks if ctrl+z has been entered.  if true, 
                                    //then the function that outputs the sorted string
            {                        //will output it minus the last entry (ctrl+z)
                cout << "done";
                Out(string,i-1);
                exit(0);
            }

            else if(i==0)         //the first time a user enters a valid string
            {    string[i] = temp; // makes the pointer point to the newly allocated space
            }
    
            else
            {    int k=0;
                while(strcmp(temp,string[k])>=0)  //compares the temp string to the other strings
                {                                //that have been entered, so it knows where to sort the string
                    k++;
                }

                int p;
                for(p=9;p>k;p--)
                {    string[p]=string[p-1];
                }
                string[p]=temp;
            }
        }

        
    }
    
    char* temp = new char;
    while(cin.getline(temp,500))    //while loop runs until the user enters ctrl+z, otherwise
    {    if(cin.eof())                //it outputs an error message
        {    cout<<"done"<<endl;
            exit(0);
        }
        cout<<"You've already entered 10 strings, press ctrl+z"<<endl;
    }

    Out(string,9);    
    
    
    return 0;


}
//Functions

void Out(char* string[], int x)  //Function that actually outputs the code, uses the pointer that was
                                //declared in the beginning of the code
{    cout << "\n";
    cout << "Your sorted strings are: \n";
    for(int i = 0; i <=x ; i++)  //outputs the amount of strings in their sorted order
    {  cout << string[i] << "\n";
    }
}

the code works totally fine now!

Great!!!

if i type the strings too long the program crashes.

Is this a different definition of "totally fine" that I'm not aware of? ;)

I already explained why here

I need to free up the memory using delete[] but i still dont know where to use it.

Where in the program are you done with the buffers you allocated? That's where you have to delete all the buffers...