Lesson22

Lesson22 - Summer MA 15200 Lesson 22 Section 4.3 This...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
1 Summer MA 15200 Lesson 22 Section 4.3 This lesson is on the properties of logarithms. Properties of logarithms model the properties of exponents. I Product Rule Product Rule of Exponents : mn bb b + = Notice: When the bases were the same, the exponents were added when multiplication was performed. Likewise logarithms are added when multiplication is performed in the argument. Product Rule of Logarithms : log ( ) log log bb b M NM N = + In words, the logarithm of a product is the sum of the logarithms. When a single logarithm is written using this product rule, we say we are expanding the logarithmic expression. Ex 1: Assume all variables represent positive values. Use the product rule to expand each expression and simplify where possible. () 2 2 5 ) log (7 ) ) log 2 ) log(100 ) ) ln(20 ) b ar bx y ca b de = = = = II Quotient Rule Quotient Rule for Exponents : m n b b b = Notice: When the bases were the same, the exponents were subtracted when division was performed. Likewise, logarithms are subtracted when division is performed in the argument.
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 5

Lesson22 - Summer MA 15200 Lesson 22 Section 4.3 This...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online