Evaluate without a calculator.
1. log 2 4
4. log 3 27
7. 7log7 𝑥
2. log 2 32
3. log 8 64
5. log 2 8
6. log 5 5
8. 27log27 𝑥
9. log 27 81
2
3
Expand the expression.
10. log 4
2𝑥𝑦
𝑧
11. Log 5 (3𝑥𝑦𝑧 2 )3
3𝑦
12. ln 4
√𝑥
Condense the expression. (Write as a singular log/ln)
13. ln 𝑥 − ln 𝑦 + ln 𝑧 + ln 3
14. 3 ln 𝑥 − 2 ln 𝑦 − 4 ln 𝑧
15. 3[ln(𝑥 − 2) + 2 ln(𝑥 + 1) − 5 ln(𝑥 − 1)]