Please solve anyone you can

See below.

Step-by-step explanation:

I can't do all these for you but I'll show you how they are done by taking some samples.

k) 2^x = 32

Take logs of both sides

log 2^x = log 32

x log 2 = log 32

x = log 32 / log 2   Using your calculator to find the log values:

x = 5.

r) 9^(x + 1) = 81

log 9^(x + 1) = log 81

x + 1 log 9 = log 81

x + 1 = log81 / log9 = 2

x + 1 = 2

x = 1.

The above method is a general way to do these using logs but with some of the simpler ones you don't have to use logs at all:

For example :

3^x = 27

We know that 3^3 is 27 so

3^x = 3^3  and so:

x = 3.

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

sample answer: you can determine whether each element of the domain is paired with exactly one element of the range. for example, if given a graph, you could use the vertical line test; if a vertical line intersects the graph more than once, then the relation that the graph represents is not a function.