Question

If 2ⁿ=128, the value of 2^(x-3) is?If 2ⁿ=128, the value of 2^(x-3) is?

Answer 1

Step-by-step explanation:

^x+y=81 and 81^x-y=3, what is the value of x and y?

81x=(34)x=(3x)4.

u=3x

⟹3x+y=81

⟹u+y=81

⟹y=81−u.

u=3x

⟹81x−y=3

⟹(3x)4−y=3

⟹u4−y=3

⟹y=u4−3.

y=y

⟹81−u=u4−3

⟹u4+u−84=0

⟹u=3

⟹3x=31

⟹x=1.

31+y=81

⟹y=81−3

⟹y=78.

∴x=1, y=78.