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LAWS OF LOGARITHMS SECTION 5.6
Why do we need the Laws? To condense and expand logarithms: To Simplify!
LAWS OF LOGARITHMS When you are adding logs multiply!! When you are subtracting logs divide!! 1. 2.
LAWS OF LOGARITHMS 3.
LAWS OF LOGARITHMS 4. The log and exponential are inverses of each other so they cancel each other! Example:
LAWS OF LOGARITHMS 5. This is because And So we get
Let’s Practice! (No Calculator) Evaluate
Let’s Practice! (No Calculator) Evaluate Simplify
Let’s Practice! (No Calculator)
Express y in terms of x:
Write as a single logarithm:
Homework: 5.6 Page 200 1-45 every other odd
Properties of Logarithmic Functions
Essential Question: What are some of the similarities and differences between natural and common logarithms.
Laws (Properties) of Logarithms
9.4 Properties of Logarithms. Since a logarithmic function is the inverse of an exponential function, the properties can be derived from the properties.
Properties of Logarithms
CH. 8.6 Natural Logarithms. Write 2 ln 12 – ln 9 as a single natural logarithm. 2 ln 12 – ln 9 = ln 12 2 – ln 9Power Property = lnQuotient Property 12.
Logarithm Jeopardy The number e Expand/ Condense LogarithmsSolving More Solving FINAL.
LOGS EQUAL THE The inverse of an exponential function is a logarithmic function. Logarithmic Function x = log a y read: “x equals log base a of y”
Section 5.6 Laws of Logarithms (Day 1)
Section 4.1 Logarithms and their Properties. Suppose you have $100 in an account paying 5% compounded annually. –Create an equation for the balance B.
CONVERTING FROM ONE FORM TO ANOTHER EVALUATING PROPERTIES OF LOGS – EXPANDING AND CONDENSING Day 1:
Logarithmic Functions Section 8.4. WHAT YOU WILL LEARN: 1.How to evaluate logarithmic functions.
Solve the equation -3v = -21 Multiply or Divide? 1.
Solving Exponential and Logarithmic Equations Section 8.6.
Turn in your Quiz!!! Complete the following:. Section 11-5: Common Logarithms The questions are… What is a common log? How do I evaluate common logs?
Laws of Logarithms 5.6. Laws of Logarithms O If M and N are positive real numbers and b is a positive number such that b 1, then O 1. log b MN = log.
8.3-4 – Logarithmic Functions. Logarithm Functions.
Topic 2: Laws of Logarithms
5.5Logarithms Objectives: I will be able to… Rewrite equations between exponential and logarithmic forms Evaluate logarithms Solve logarithms.
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