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BELL RINGER (IN MATH JOURNAL) What are the laws of exponents? 1. x m x n = 2. x m = x n 3. (xy) n = 4. (x) n = (y) 5. x –n = 6. x 0 = 7. (x m ) n =

BELL RINGER (IN MATH JOURNAL) What are the laws of exponents? 1. x m x n = 2. x m = x n 3. (xy) n = 4. (x) n = (y) 5. x –n = 6. x 0 = 7. (x m ) n =

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Page 1: BELL RINGER (IN MATH JOURNAL) What are the laws of exponents? 1. x m x n = 2. x m = x n 3. (xy) n = 4. (x) n = (y) 5. x –n = 6. x 0 = 7. (x m ) n =

BELL RINGER (IN MATH JOURNAL)

What are the laws of exponents?1. xmxn =2. xm = xn

3. (xy)n =4. (x)n = (y)5. x –n =6. x0 =7. (x m)n =

Page 2: BELL RINGER (IN MATH JOURNAL) What are the laws of exponents? 1. x m x n = 2. x m = x n 3. (xy) n = 4. (x) n = (y) 5. x –n = 6. x 0 = 7. (x m ) n =

LOGARITHMS

Wednesday, April 16, 2014

Page 3: BELL RINGER (IN MATH JOURNAL) What are the laws of exponents? 1. x m x n = 2. x m = x n 3. (xy) n = 4. (x) n = (y) 5. x –n = 6. x 0 = 7. (x m ) n =

Exponential

GRAPHS

Logarithmic

Page 4: BELL RINGER (IN MATH JOURNAL) What are the laws of exponents? 1. x m x n = 2. x m = x n 3. (xy) n = 4. (x) n = (y) 5. x –n = 6. x 0 = 7. (x m ) n =

INVERSE

Page 5: BELL RINGER (IN MATH JOURNAL) What are the laws of exponents? 1. x m x n = 2. x m = x n 3. (xy) n = 4. (x) n = (y) 5. x –n = 6. x 0 = 7. (x m ) n =

NOTES

The inverse of an exponential function is a logarithmic

function.

To convert from an exponential to a log –>

25 = 32 is log2 32 = 5

Calculators only do log10 which is called “common log”

So log is really log base 10.

Page 6: BELL RINGER (IN MATH JOURNAL) What are the laws of exponents? 1. x m x n = 2. x m = x n 3. (xy) n = 4. (x) n = (y) 5. x –n = 6. x 0 = 7. (x m ) n =

PROPERTIES OF LOGS-- NOTES

1) logb mn = logb m + logb n

2) logb m = logb m – logb n

n 3) logb mp = p logb m

Page 7: BELL RINGER (IN MATH JOURNAL) What are the laws of exponents? 1. x m x n = 2. x m = x n 3. (xy) n = 4. (x) n = (y) 5. x –n = 6. x 0 = 7. (x m ) n =

BELL RINGER (IN MATH JOURNAL)

1.How can you convert from exponential to logarithmic form?

2.What base is the log button on your calculator?

3.What are the properties of logs?

Page 8: BELL RINGER (IN MATH JOURNAL) What are the laws of exponents? 1. x m x n = 2. x m = x n 3. (xy) n = 4. (x) n = (y) 5. x –n = 6. x 0 = 7. (x m ) n =

LOGARITHMIC EQUATIONS

Thursday, April 17, 2014

Page 9: BELL RINGER (IN MATH JOURNAL) What are the laws of exponents? 1. x m x n = 2. x m = x n 3. (xy) n = 4. (x) n = (y) 5. x –n = 6. x 0 = 7. (x m ) n =

NOTES

To convert from logarithm to an

exponential

log2 32 = 5 → 25 = 32

Page 10: BELL RINGER (IN MATH JOURNAL) What are the laws of exponents? 1. x m x n = 2. x m = x n 3. (xy) n = 4. (x) n = (y) 5. x –n = 6. x 0 = 7. (x m ) n =

SOLVING LOG EQUATIONS

1.If possible, get log of the

same bases equal and “drop

the log.”

2.If not, then change to

exponential form and solve.

Page 11: BELL RINGER (IN MATH JOURNAL) What are the laws of exponents? 1. x m x n = 2. x m = x n 3. (xy) n = 4. (x) n = (y) 5. x –n = 6. x 0 = 7. (x m ) n =

CHANGE OF BASE

logca =