Question

If 3^x=5^y=7^z=105, then

1/x+1/y+1/z is equal to?

Please explain the answer step by step

No short answers or without explanation
Plzz

Answer 1

Please check out the attachment. But there are some portion which may not be visible and I'd like to apologize for that.

Answer 2

Answer:

3^x =5^y = 7^z = 105

Step-by-step explanation:

3^x = 105 => 3 = (105)^1/x ---(1)

5^y = 105 => 5 = (105)^1/y ---(2)

7^z = 105 => 7 = (105)^1/z ---(3)

multiply (1) ,(2)&3 ,we get

3 × 5 × 7 = (105)^(1/x+1/y+1/z)

105 = 105^(1/x+1/y+1/z)

here base are equal so it will get cancel to each other ,

therefore,

1 = 1/x + 1/y + 1/z