Algebra 2/Trig
Unit 6: Exponential & Logarithmic Functions and Equations
Name:______________
Period: ________
16.1 Properties of Logarithms- Part A
Rewrite as a single logarithm.
1. log 2 𝑥 + log 2 6 − log 2 12𝑥
6. log10 (𝑥 2 − 16) − log10 (𝑥 + 4)
2. 2 log 5 𝑥 + log 5 3
7. log 6𝑥 + log(4𝑦 2 ) − log 2𝑥𝑦
3. 3 log(𝑥 + 1) − 2 log(𝑥 + 1)
8. 4 log 2𝑥 + log(3𝑥12 ) − 2log 6𝑥
4.
1
2
log10 𝑥 − log10 4
5. log 3 (2𝑥 2 − 𝑥 − 1) − log 3 (𝑥 − 1)
9.
ln (9𝑥 2 + 30𝑥 − 24) − ln (27𝑥 2 − 12)
10. 2 ln 𝑥𝑦 + 3 ln (2𝑥𝑦) − ln 𝑥 3 𝑦 4