PreCalculus 5-4 Common and Natural Logarithmic Functions.

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Presentation transcript:

PreCalculus 5-4 Common and Natural Logarithmic Functions

Write the following equation in exponential form

Logarithmic Functions

Consider two positive integers a and b. We know how to compute a + b, a - b, a/b, and ab. There is another thing we can compute: a  b, pronounced "a Evan b". To Evan two numbers together, we perform the following calculation: a  b =

Compute the following without the use of a calculator. (a) 1  5 (b) 42  134 (c) 5231  553 (d) 8  501,245 (e) 42,264  83,173 Describe, in words, what it means to Evan two integers together ,134 5,231,553 8,501,245 4,226,483,173 The numbers are concatenated a  b = Logarithmic Functions

What happens when we try to Evan negative integers Negative numbers are outside the domain of the log function a  b = Logarithmic Functions

Which of the following statements are true for arbitrary positive integers a, b, and c? (a) a  b=b  a (b) a  (b  c)=(a  b)  c (c) a  0 = a (d) 0  b = b False True False True a  b = Logarithmic Functions

Explain, in words, why a Evan does what you say it does. a  b = tells how many digits are in b a has the number of digits in b, added as zeros to the end of its value, then b is added Logarithmic Functions

Homework pg – 34 even, 44 – 52 even, 60