Question

# 870 14. If 2%=30=12? then 2%= 39=122 2 then how show that **

Solution

x = y log_23 = z log_2 12

⇒ x = ylog_23 = z(2log_22+log_23)

⇒ x = y log_23 = z (2+log_23)

Now, z = x/2+log_23 , y =x/log_23

⇒log_23 = x-2_z/z, log_23 = x/y

⇒x-2z/z = x/y

⇒xy-2yz = xz

⇒xy = xz + 2y3

Divide by xyz on both sides

**1/z = 1/y + 2/x**

**Hence proved**