Julie is in a singing competition and needs an average score of 9.1 to make it to the next round. there are four judges. the first three judges gave scores of 8.8, 9.5, and 9.2.
what equation can you solve to determine the lowest score the fourth judge can give for julie to move on?

Solve the equation

,

where is the minimum score of the fourth judge.

At least 8.9 points.

Step-by-step explanation:

Let the score of the fourth judge be .

The average score is the sum of the four judges' score divided by the number of scores. That is:

.

The minimum average score needs to be greater than or equal to . In other words,

.

Multiply both sides of by four.

.

Subtract from both sides of the equation:

.

In other words, the minimum score of the last judge is for Julie to move on.

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.