Properties of
Logarithms Egg
Hunt Activity
The Math Lab
PropertiEgges Hunt
of Logarithms
Materials:
6 plastic eggs for each group, one color per group
6 problems, one for each egg
Directions:
Print and cut out the problems below to fit in the plastic eggs. Hide the eggs around your classroom for
the students to find. Split the students into small groups and assign a color to each group. The group
must find an egg and complete the problem inside then find another egg and continue until all six eggs
have been found and the problems completed.
1. Write the expression as a single logarithm: 4log 𝑥 + log 7
2. Expand the expression completely: log
3. Condense the expression:
−
4. What is the expanded form of the expression 𝑙𝑜𝑔 𝑥𝑦?
5. What is the condensed form of 2 ln(𝑒) + ln(𝑥) − ln(𝑦) − 3ln (𝑧) ?
6. Simplify the following expressions:
a. ln(𝑒 )
b. ln(1)
c. log 5
d. 𝑒
The Math Lab 2013
Answer Key
1. Write the expression as a single logarithm: 4log 𝑥 + log 7
log 7𝑥
2. Expand the expression completely: log
2 log 𝑥 + 3 log 𝑦 − log 6
3. Condense the expression:
−
𝑙𝑜𝑔
𝑥
𝑦
4. What is the expanded form of the expression 𝑙𝑜𝑔 𝑥𝑦?
1
(𝑙𝑜𝑔𝑥 + 𝑙𝑜𝑔𝑦)
3
5. What is the condensed form of 2 ln(𝑒) + ln(𝑥) − ln(𝑦) − 3ln (𝑧) ?
𝑥
2 + ln
𝑦𝑧
6. Simplify the following expressions:
a. ln(𝑒 )
b. ln(1)
4𝑥
0
c. log 5
1
d. 𝑒
𝑥
The Math Lab 2013