Question

3^x = 5^y = 75^z solve this ​

Answer 1

Answer:

Given,

3x=5y=75z

3x=5y=75z=k

⇒3=k 1/x,5=k 1/y,75=k 1/z

5²×3=k 1/z

(k 1/y)² ×(k 1/x) = k 1/z

By comparing powers

⇒ 2/y + 1/x = 1/z

2x+y/xy = 1/z

∴z= xy/2x + y

[henceproved]