Question

If a power x =b power y = c power z and b =ac find 2xz / x+z

Answer 1

Answer:

2y

Step-by-step explanation:

given   a^x=c^z=b^y

           a=c^z/x

given  

b=a.c

b=c^z/x.c                     (since      a=c^z/x)

b=c^(z/x+1)

b=c^(z+x/x)        

raising to the power of y on both sides

b^y=c^((z+x/x).y )

c^z=c^((z+x)y/x)           (since       b^y=c^z)

bases r equal so equate powers

z=(z+x)y/x

xz=(z+x)y

xz/(x+z)=y

multiplying with 2 on both sides

2xz/(x+z)=2y