Question

If 3^x = 5^y = (75) then​

Answer 1

Answer:

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Answer 2

Answer

Given,

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  HOPE IT HELPS PLEASE  MARK ME AS BRILIANT