Question

if=16^x+log_4x then findf(1/2)​

Answer 1

Answer:

Domain of the function:

x

2

+x>0 and x+1>0

⇒x(x+1)>0⇒x ∈ (−∞, −1)∪(0, ∞)

And x+1>0⇒x∈(−1, ∞)

Taking intersection, we have

⇒x∈(0, ∞)

Now,

log

4

(x

2

+x)−log

4

(x+1)=2

⇒log

4

(

x+1

x

2

+x

)[∵loga−logb=log

b

a

]=2

⇒

x+1

x(x+1)

=4

2

=16

⇒x=16

Answer 2

Answer:

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Step-by-step explanation:

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