Mcgruff building co. is in charge of building a new hotel. the owner of the hotel tells the company that the ratio of one person rooms to two person rooms in the hotel should be 2: 3. if the building company has bulit 36 two person rooms, how many one person rooms must they build to have the correct ratio of rooms?

The given ratio of one person rooms to two person rooms in the hotel is 2 : 3

Let one person room be x .

if the building company had built 36 two person rooms in the hotel then,

2 : 3 = x : 36

so,

solving it we get x = 24

Hence 24 one person rooms must be build to have the correct ratio of rooms.

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.