Exponent Laws & Exponential Equations

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Presentation transcript:

Exponent Laws & Exponential Equations Exponents and Logs 1 Suggested Practice Haese & Harris 3rd Ed (on Moodle) Chapter 3: pages 84 – 94 Exercises: 3B, 3C, (3D) 3E

Exponential Expressions An exponential expression is anything that takes the form: Read as “a to the power of n ” or simply “a to the n ” Where “a” is the base “n” is the power or the exponent or index, and it is the variable

Laws of Exponents (Rules of Indices)

More Laws of Exponents

Simplify the following (factor or express as a single fraction, or a single term): b.. d.. c..

Exponential Equations The general form of an exponential equation is: Where a and b are constants and x is the variable Steps for solving an exponential equation: Solve for x: bx = N Step 1: Express the number N in the form bnumber Step 2: Write the equation bx = bnumber Step 3:Equate exponents, x = number

Solve the following exponential equations (solve for “x”):

Property of Equality for Exponential Equations If an equation has the form then In other words… If the bases are _______, the exponents are ________ (b >0, b ≠ 1) Example: Solve: