Question

If 3power x =4 power y= 12 power z ,then z is equal to

a)xy. b)x+y
c)xy/x+y. d)4x+3y​

Answer 1

its c option i.e xy/x+y

explanation=

3^x=4^y=12^z=k

3^x=k

3=k^1/x

4^y=k

4=k^1/y

12^x=k

12=k^1/z

12=4×3

k^1/x=k^1/x ×k^1/y

base is same and there is the symbol of equality

then

1/z=1/x+1/y

1/z=x+y/xy

z=xy/x+y

Answer 2

c)xy/x+y. This should be the right answer. Give a like if you understood