Question

If 3^X=5^y=75z then z(x+y)/xy

Answer 1

Answer:

3  

x

=5  

y

=75  

z

 

3  

x

=5  

y

=75  

z

=k

⇒3=k  

x

1

​

 

,5=k  

y

1

​

 

,75=k  

z

1

​

 

 

5  

2

×3=k  

z

1

​

 

 

(k  

y

1

​

 

)  

2

×(k  

x

1

​

 

)=k  

z

1

​

 

 

By comparing powers  

⇒  

y

2

​

+  

x

1

​

=  

z

1

​

 

xy

2x+y

​

=  

z

1

​

 

∴z=  

2x+y

xy

​

      [henceproved]

Step-by-step explanation: