| Logarithm properties | ||
| #1 | Product Property | logb(MN) = log b M + log b N |
| #2 | Quotient Property | logb(M/N) = logb M - log b N |
| #3 | Power Property | logb M^k = k log b M |
| #4 | Logbb= | 1 |
| #5 | b^logbx= | x |
| logaithmic form | ||
| #1 | 1600 = 10^x | log 1600 = x |
| #2 | 100= 10^2 | log 100 = x |
| #3 | 8 = 2^3 | log2 8 = 3 |
| #4 | 27 = 3^3 | log 3 27 = 3 |
| #5 | (1/9) = 3^-2 | log3(1/9) = -2 |
| exponential Form | ||
| #1 | log5 25 = 2 | 25 = 5^2 |
| #2 | log 5 625= 4 | 625 = 5^4 |
| #3 | log 2 4 = 2 | 4 = 2^2 |
| #4 | log 8 64 = 2 | 64 =8^2 |
| #5 | log 4 (1/16) = -2 | 1/16 = 4^-2 |
| Using Properties | ||
| #1 | log a (15) | log a 5 + log a 3 |
| #2 | Log a (10/3) | Log a10 + log a 3 |
| #3 | Log a 5^3 | 3 log a 5 |
| #4 | Log a 2 + log a 3 + log a 5 | Log a 30 |
| #5 | Log a 55 - log a 3 | Log a (55/3) |
| Chang Base | ||
| #1 | Change base formula | log M N = log a M / Log a N |
| #2 | Log 2 8 | log 8 / log 2 = 3 |
| #3 | log 5 66 | log 66 / log 5 = 2.603 |
| #4 | ln .80882 | -.212 |
| #5 | log 876 567 | log 567 / log 876 = .936 |
| Final Question | |
| 1600 = 10^x | 3.204 |