1. Graph each example. See if you can figure out why the graph is changed. Come with questions to group
3. 10110 (base2) = ____22_______ 104(base5) = ____129_______ 72(base 
= __58______
110101(base2) = ___53________ 210(base3) = ___21________
4. Change the following base 10 numbers into the given bases: 34 = __54_____(base 6) 51 = _110011_________ (base 2) 50 = ___101_____ (base 7)
85 = ___10011________ (base 3) 210 = 21210 base 3
5. 10^3 = 1000 can be rewritten as: log(1000) = 3. Rewrite the following: 7^2 = 49 is _log(base7) 49 = 2___; 2^3 = 8 is ___log(base2)8 = 3______
3^4 = 81 is __log(base3) 81 = 4_________ e^1 = 2.72 is _ln(2.72) = 1_______ (use ln in your notation) Make up your own examples
6. Express as an exponent equation, the opposite of #5 above: log(base7) 49 = 2 is ___7^2 = 49________; log(base2) 32 = 5 is ___2^5 = 32______
log(81) = 1.9 is ___10^1.9 = 81_______ ; log(211) = 2.32 is __10^2.32 = 211______; ln(75) = 4.32 is ___e^4.32 = 75_______;
7. Estimate without using a calculator: log(base7) 50 {2.1} log(base3) 26 {2.9} log(base5) 30 {2.2} log(850) {2.8} log(50) {1.7}
8. Rewrite using the product of a logarithm rule:
log(xy) {log(x)+log(y)} log(21) {log(3)+log(7)} log(12) {log(2)+log(2)+log(3)} log(xyz) {log(x)+ log(y)+log(z)} log(6xy) {log(2)+log(3)+log(x)+log(y)}
9. Rewrite using the quotient rule of logarithms: log(x/y) {log(x)-log(y)} log(6/5) {(log(2) + log(3)) – log(5)} log (3/2z) {log(3) – (log(2) + log(z))}
10. rewrite as a single log function:
1. log(2) + log(5) + log(3) {log(30)}
2. log(x) – (log(4) + log(z)) {log(x/4z) }
3. ( log(2z) + log(3y)) – (log(2) + log(7)) {log(6zy/14)}
11. Simplify using the power property of logs
1. log(base3) x^(1/2) {1/2 log(base3) x
2. log(base5) x^3 {3log(base5)x
3. ln t^2 { 2ln(t)
4. log 3y^2/x^3
12. Rewrite as a single log expression: 2log(5) + 3log(2) 3ln(4) - (4ln(5) + 2ln(3))