If x, y, and z are positive integers and 2^x * 3^y * 5^z = 54,000, what is the value of x + y + z

Given:

If x, y, and z are positive integers, then

To find:

The value of .

Solution:

First we need to find the prime factors of 54000.

       ...(i)

We have,

       ...(ii)

On comparing (i) and (ii), we get .

The sum of is:

Therefore, the value of is 10.

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are

5x+10 is the correct one

hope this