 GeeksforGeeks App
Open App Browser
Continue

# Finding the Natural Logarithm of Complex Number in Golang

Go language provides inbuilt support for basic constants and mathematical functions for complex numbers with the help of the cmplx package. You are allowed to find the natural logarithm of the specified complex number with the help of Log() function provided by the math/cmplx package. So, you need to add a math/cmplx package in your program with the help of the import keyword to access the Log() function.

Syntax:

`func Log(y complex128) complex128`

Let us discuss this concept with the help of the given examples:

Example 1:

 `// Golang program to illustrate how to find the``// natural logarithm of the given complex number`` ` `package main`` ` `import (``    ``"fmt"``    ``"math/cmplx"``)`` ` `// Main function``func main() {`` ` `    ``// Finding natural logarithm of``    ``// the specified complex number``    ``// Using Log() function``    ``res_1 := cmplx.Log(1i)``    ``res_2 := cmplx.Log(-4 + 12i)``    ``res_3 := cmplx.Log(-3 - 9i)`` ` `    ``// Displaying the result``    ``fmt.Printf(``"Result 1: %.1f"``, res_1)``    ``fmt.Printf(``"\nResult 2:  %.1f"``, res_2)``    ``fmt.Printf(``"\nResult 3:  %.1f"``, res_3)``}`

Output:

```Result 1: (0.0+1.6i)
Result 2:  (2.5+1.9i)
Result 3:  (2.2-1.9i)
```

Example 2:

 `// Golang program to illustrate how to find the``// natural logarithm of the given complex number`` ` `package main`` ` `import (``    ``"fmt"``    ``"math/cmplx"``)`` ` `// Main function``func main() {`` ` `    ``cnumber_1 := complex(0, 2)``    ``cnumber_2 := complex(4, 6)`` ` `    ``// Finding natural logarithm``    ``cvalue_1 := cmplx.Log(cnumber_1)``    ``cvalue_2 := cmplx.Log(cnumber_2)`` ` `    ``// Sum of the given natural logarithm``    ``res := cvalue_1 + cvalue_2`` ` `    ``// Displaying results``    ``fmt.Println(``"Complex Number 1: "``, cnumber_1)``    ``fmt.Printf(``"Natural logarithm 1: %.1f"``, cvalue_1)`` ` `    ``fmt.Println(``"\nComplex Number 2: "``, cnumber_2)``    ``fmt.Printf(``"Natural logarithm 2: %.1f "``, cvalue_2)``    ``fmt.Printf(``"\nSum : %.1f"``, res)`` ` `}`

Output:

```Complex Number 1:  (0+2i)
Natural logarithm 1: (0.7+1.6i)
Complex Number 2:  (4+6i)
Natural logarithm 2: (2.0+1.0i)
Sum : (2.7+2.6i)
```

My Personal Notes arrow_drop_up