given that b is between a and c. if ab=x, bc =2x-3, and ac = 30. find x and bc

x=11

BC=19

Step-by-step explanation:

AB+AC=AC this is because B is in between A and C. So now we can substitute all of the line segments, so we have

x+2x-3=30          Now you add 2x and x

3x-3=30      Now you add 3 to both sides so you can get 3x alone on one side

3x=33        Now you divide both sides by 3 so you get the x alone on one side

x=11

The next step is to substitute x to find BC.

BC=2x-3       Substitute the x with 11

BC=2(11)-3    Then multiply 2 and 11 because that is the rule with parenthesis

BC=22-3        then subrtact the 3 from 22

BC=19

You can check your work by doing AB+BC=AC

11+19=30        substitute your answers and then add them together

30=30

if im undersanding the question correctly, its organized from 10

step-by-step explanation:

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.