Logarithm Functions
Without using a calculator determine the exact value of each of the following.
- log381
- log5125
- log2
- log16
- ln e4
- log
- log 1/100
Use the change of base formula and a calculator to find the value of each of the following.
- log1235
- log53
Exponential And Logarithm Equations
For problems 1 – 12 find all the solutions to the given equation. If there is no solution to the equation clearly explain why.
- 12 − 4e7+3x = 7
- 1 = 10 − 3ez2−2z
- 2t − te6t−1 = 0
- 4x + 1 = (12x + 3)ex2−2
- 2e3y+8 − 11e5−10y = 0
- 14e6−x + e12x−7 = 0
- log (w) + log (w − 21) = 2
- 2 log (z) − log (7z − 1) = 0
- 16 = 17t−2 + 11
- 23−8w − 7 = 11