Is y = 1/4x^0.5 a power function? explain your reasoning.

It is a power function.

Step-by-step explanation:

We are given the following function in the question:

We have to check whether the given function is a power function or not.

Power Functions :

where a is a constant and not equal to zero and p is a real number.

Comparing the given function, we get:

Hence, the given function is a power function.

step-by-step explanation:

what grade level is this? need to know so i can look in my old textbooks!

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752