# Find the value of y - Hudson City School District 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= EXPAND THE FOLLOWING 4 2 3

log 3 + 3 FIND Y 1

=y FIND Y =y CONDENSE THE

FOLLOWING 1 3 +5 2 FIND THE VALUE OF Y

log 2 1= FIND THE VALUE OF Y =y FIND THE VALUE OF Y

=y FIND Y 16=4

WHAT IS THE DOMAIN OF THIS FUNCTION? ( )= log2 (3) WHAT IS THE RANGE OF THIS FUNCTION?

( )=10 2 (+1) SOLVE FOR X 3 4 =

2 FIND THE ORIGINAL EXPONENTIAL REGRESSION ALGEBRAICALLY Given

the linear regression of (x,lny) is: SOLVE FOR X 36=

WRITE AS LOGS USING LOG 5 AND LOG 4 125 64

SOLVE FOR X (CALCULATOR ALLOWED) 5 7 =2175 SOLVE FOR X

(CALCULATOR ALLOWED) 7 +29=400 Solveforx(calculatorallowed)

8.2 =64.5 SOLVE FOR X log(+)log=log SOLVE FOR X

(CALCULATOR) + =

USE CALCULATOR TO FIND A EXPONENTIAL MODEL FOR THIS DATA X Y 0 1

2 3 4 7 12 30 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)

4 3 =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 SOLVE FOR X

5+5log100 =20 AN INVESTMENT HAS A 5% ANNUAL INTEREST AND IS COMPOUNDED

QUARTERLY. HOW LONG WILL IT TAKE THE INVESTORS MONEY TO DOUBLE? SOLVE FOR X (CALCULATO R ALLOWED)

WHICH OF THE FOLLOWING FIELDS OF STUDY USE LOGARITHMS: a.Computer software

engineer b.Aerospace engineer c.Actuaries d.All of the above DOUBLE JEOPARDY 2 POINTS NO

CALCULATOR SKETCH THE GRAPH OF f(x)= AND STATE THE DOMAIN AND RANGE IN INTERVAL NOTATION