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Chapter 3: Problem 21

The __________ library function returns the base- 10 logarithm of a number.

Short Answer

Expert verified
Answer: The library functions to calculate the base-10 logarithm of a number in Python, C++, and Java are `math.log10(y)`, `std::log10(y)`, and `Math.log10(y)` respectively.

Step by step solution

01

Understanding the concept of logarithm

A logarithm base b of a number y can be defined as the number x that satisfies b^x = y. When the base b is 10, it's commonly known as the base-10 logarithm. In mathematical terms, if log_10(y) = x, it means that 10^x = y.
02

Libraries containing mathematical functions

In programming languages like Python, C++, and Java, we have standard libraries that contain predefined functions for mathematical operations. We would search for the base-10 logarithm function in these libraries: 1. For Python, we can use the `math` library, 2. For C++, we can use the `cmath` library, 3. For Java, we can use the `java.lang.Math` package.
03

Identifying the library function for base-10 logarithm

Now that we know which libraries to look into, let's identify the function that returns the base-10 logarithm of a number: 1. In the Python `math` library, we have `math.log10(y)` for finding the base-10 logarithm of a number `y`. 2. In the C++ `cmath` library, we have `std::log10(y)` for finding the base-10 logarithm of a number `y`. 3. In the `java.lang.Math` package of Java, we have `Math.log10(y)` for finding the base-10 logarithm of a number `y`. These functions take the number y as their argument and return the base-10 logarithm of y.

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