Which of the following is a logarithmic function? 1. y=0.25x 2. y=x^0.25 3. y=log0.25^x 4. y=(0.25)

Only a function that actually shows the word "ln" or "log" or "log to the base b" is a log function.

Taking a closer look at #3: y = log 0.25^x, we see that this can be simplified by writing the base (10) as follows: 10 10

and then using y as the exponent of the first 10 and log 0.25^x as the exponent of the second 10:

10^y = 10^(log 0.25^x)

You were not asked to do this, but this discussion may be of interest and help to you down the line.

10^y = 0.25^x

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).