1. How did the invention of logarithms help computing?
Logarithms made computations easier because they enabled to reduce multiplication to an easier operation - addition. The use of logarithms in computing is based on the fact that log(a*b) = log(a) + log(b). So, to compute a*b, we can do the following: 1) find log(a) and log(b), 2) add these two logarithms, thus computing s = log(a)+ log(b); and 3) find a number whose logarithm is equal to this sum s. This number will be exactly a*b. This idea formed the base of a slide rule, which for several centuries was the main computational tool of engineers.2. At UTEP, a burrito costs $1.50. Write a main method that asks a student for the number of burritos, and then computes the total and prints the statement:
For (number) burritos, you pay $(amount).For example, if you ordered 5 burritos, the computer should print:
For 5 burritos, you pay $7.50.
Reminder: to read strings, you can define the input object as follows:
BufferedReader in = new BufferedReader(new InputStreamReader(System.in));to convert the string into an integer, you can use the method
Integer.parseInt( )the header of the main method is:
public static void main(String[] args) throws IOException{
public static void main(String[] args) throws IOException{
BufferedReader in = new BufferedReader(new InputStreamReader(System.in));
System.out.println("Please enter the number of burritos");
String reads = in.readLine();
int burritos = Integer.parseInt(reads);
System.out.println("For "+ buritos+" burritos, you pay $" +
1.50 * (double) burritos+ ".";
}