Logarithm Jeopardy Each table will choose a team of students to go to the designated spot on the board. Once the students read the problem and answer.

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Presentation transcript:

Logarithm Jeopardy Each table will choose a team of students to go to the designated spot on the board. Once the students read the problem and answer it in writing they may raise their hands. The first team to raise a hand will be asked to answer. If that person is correct that team gets a point. If the person is incorrect, the next team to raise a hand gets a chance. We will have three teams. Tables one and two, three and four, and five and six will be paired together. Each person from each group will have the opportunity to answer at least one question.

Find the value of y log 5 25=𝑦

Expand the following log 3 2 3 𝑚 4 𝑛+3

Find y 𝑙𝑜𝑔 3 81 = y

Find y 𝑙𝑜𝑔 2 1 16 =y

Condense the following 3 𝑙𝑜𝑔 𝑥− 1 2 𝑙𝑜𝑔𝑦+5𝑙𝑜𝑔𝑧 −𝑙𝑜𝑔𝑤

Find the value of y log 2 1=𝑦

Find the value of y log 4 1 8 =y

Find the value of y log 9 1 81 =y

Find y 𝑙𝑜𝑔 𝑦 16=−4

What is the domain of this function? 𝑓 𝑥 = log 2 (𝑥−3)

What is the range of this function? 𝑓 𝑥 = 10 (𝑥+1) −2

Solve for x 𝑙𝑜𝑔 4 𝑥= 3 2

Find the original exponential regression Algebraically Given the linear regression of (x,lny) is: 𝑦 =3.12𝑥+2.04

Solve for x 36= 6 5𝑥

Write as logs using log 5 and log 4 𝑙𝑜𝑔 125 64

Solve for x (calculator allowed) 7 𝑥 5 =2175

Solve for x (calculator allowed) 7 𝑥 +29=400

Solve for x (calculator allowed) 8.2 𝑥 =64.5

Solve for x log (𝟑𝒙+𝟏𝟒) − log 𝟓= log 𝟐𝒙

Solve for x (Calculator) 𝒆 𝟐𝒙 + 𝒆 𝒙 −𝟑𝟎=𝟎

Use Calculator to find a exponential model for this data Y 4 1 7 12 2 30 3 Round to two decimal places

Solve (calculator allowed) Suppose $500 in invested at 6% annual interest compounded twice a year. What will the investment be worth in 10 years?

Solve for x (may use calculator) 3 𝑒 4𝑥 =45

Solve for x (May use calculator) The half life of phosphorous-32 is 14.282 days. How much of a 100 gram sample is left after 50 days? Use 𝑦=𝑎 (𝑏) 𝑥

Solve for x 5+5 log 100 𝑥=20

An investment has a 5% annual interest and is compounded quarterly An investment has a 5% annual interest and is compounded quarterly. How long will it take the investor’s money to double?

Solve for x (Calculator allowed) ln 3𝑥 =3.985

Which of the following fields of study use logarithms: Computer software engineer Aerospace engineer Actuaries All of the above

DOUBLE JEOPARDY 2 POINTS NO CALCULATOR SKETCH THE GRAPH OF f(x)= log 2 𝑥−2 +3 AND STATE THE DOMAIN AND RANGE IN INTERVAL NOTATION