Question

2^x=4^y=8^z and 5x=lamda y+z find value of lands

Answer 1

Answer:

2/3

Step-by-step explanation:

2^x=4^y=8^z....

2^x=4^y

2^x = (2^2y)

hence....x = 2y ( bases are same)....(1)

now....4^y=8^z

2^2y = 2^3z

then... 2y = 3z ( same above reason)

means....z = 2y/3 .......(2)

put (1) & (2) in given.....

5x=lamda y+z

5(2y) = lambda y + 2y/3

10y = lambda y + 2y/3

lambda y = 10y - 2y/3

lambda y = 28y/3

lambda = 2y/3 /y

lambda = 2/3