AP EAMCET2007MathematicsBasics of Mathematics
C f a^x=b^y=c^z=d^w , the value , x ( 1 y + 1 z + 1 w ) is
Options
- A_a(a b c)
- B_e(k c d)
- C_b(c d a)
- D_c(d a b)
Correct answer
B. _e(k c d)
Step-by-step solution
Given, a^x=b^y=c^z=d^w aligned & x=y _a b=z _a c=w _a d & y= x _a b , z= x _a c , w= x _a d aligned Now, aligned & x ( 1 y + 1 z + 1 w ) = & x [ _a b x + _a c x + _a d x ] = & x x [ _a b c d ] = & _a(b c d) aligned