Question

3^x×5^y=75^z
find the value of z​

Answer 1

Answer:

hope it helps you...................

Answer 2

Answer:

3^x=(75) ^z

3^x=(25×3)^z

3^x=(5^2 ×3)^z

3^x =5^2z×3^z

3^x/3^z = 5^2z

3^x-z=5^2z

taking log both side and after simplification

log5/log3= (x-z)/2z

similarly for 5^y=(75) ^z

log5/log3 z/y-2z

since both are equal

(x-z)/2z =z/y-2z

after simplification

z=xy/y+2x

Step-by-step explanation:

i hope this answer helps u