Name:
Mr. Rowling
Date:
NAHC: _________
Solving Exp/Log Celebration
1. Find the numerical value of the log expression, given the following information. **Pick 1! (bonus 2pts if
both right) (5pts)
𝑎, 𝑙𝑜𝑔 𝑎 = 2
𝑙𝑜𝑔 𝑏 =− 3
𝑙𝑜𝑔 𝑐 = 1
b. 𝑙𝑜𝑔 𝑎 = 9
𝑙𝑜𝑔 𝑏 =− 12
6 6
𝑙𝑜𝑔
𝑎𝑏
7
𝑐
𝑙𝑜𝑔
𝑙𝑜𝑔 𝑐 =− 4
𝑐
4 4
𝑎𝑏
2. In a lab experiment, 80 bacteria are placed in a petri dish. The conditions are such that the number of
bacteria is able to double every 5 hours. How long would it be, to the nearest tenth of an hour, until there are
136 bacteria present?(5pts)
3. Solve the following functions. Show ALL work and circle your answer.
2
𝑏. 3𝑙𝑛(4𝑥 + 10) − 3 = 6
𝑎. 𝑙𝑜𝑔𝑥+6(2𝑥 + 3𝑥) = 2
2
𝑐. 𝑙𝑜𝑔3(𝑥 + 7) − 𝑙𝑜𝑔3(3𝑥 + 5) = 0
0.59𝑥
𝑒. 2540 = 310(1. 09)
𝑑. 𝑙𝑜𝑔6(𝑥) = 1 − 𝑙𝑜𝑔6(𝑥 − 1)
−4𝑘−10
+ 640
𝑓. 6𝑒
− 4 = 63