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Advanced Algebra
Unit 3 Exponential, Log, and Power Functions
Simplify the following using your Log rules:
1) log 5 6 – log 5 4
2) log 5 13 + log 5 3
3) 2 log 10x + 1og 10 5
4) 5 log 4 12 – 5 log 4 2
5) 3 log 3 19 – 3 log 3 38
6) log 7 48 – 4 log 7 2
7) log 10 8 + log 10x + 2 log 10 y
8) log 10 6 – 3 log 10
9) 6 log8 2 + 2 log 8 x + 2 log 8 y
10) log 3 2 + log 3 y
11) 10 log 10x + 2/3 log 10 64
12) 2 log10 9+ 5log10 x + log 10
Solve the following equations:
1) log 4 2 – log 4 x = log 4
2) log 3 6 = log3 3 + log 3 x
3) log 4 5 = log 4 10 – log 4 x
4) log 3 3 = log 3 x – log 3 3
5) log 3 8 = x log 3 2
6) log 10 16 = x log 10 2
7) log 2 x = ½ log 2 4
8)
log 4 x = log 4 4
Graphing Assignment: Carefully graph and see how they are related .
Make table values. Understand when you do an inverse you switch your x and y
Y = 2x → Switch your x and y
so x = 2y→ Now use your log to solve for y so y = log 2 x
So the Inverse is y = log 2x
Graph these two functions and see how they are related.