Question

The Solution of the in equality log (x-4) to the base (0.2)>,-| satisfies ​

Answer 1

answer :-

x

x-4

≤4 is

Correct option is

A

(−∞,−

2

5

]∪(0,+∞)

log

0.2

x

x+2

≤1

where,

x

x+2

>0

⇒x>0 ...(1)

or x<−2 ...(2)

log

0.2

x

x+2

≤1

⇒

−log5

log

x

x+2

≤1

⇒log

x

x+2

≥log

5

1

⇒

x

x+2

≥

5

1

⇒x≤

2

−5

...(3)

From (1), (2) & (3) we get,

x∈(−∞,−

2

5

]∪(0,+∞)

Ans: A