6.4 Logarithmic & Exponential Equations

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Presentation transcript:

6.4 Logarithmic & Exponential Equations

Ex 1) Find the solution set of Write left side as a single log Check in original eqtn. Can’t have log of neg. #

Logarithm Common Log - log with base 10 Natural Log - log with base e If base is missing, it’s base 10 Natural Log - log with base e

Ex 2) Find a 3-digit value for x Can’t write as same base →Take the log of both sides Use properties Distribute Get terms with variable on one side Factor out x Divide

Change of Base Formula So you can use your calculator Common log or Natural log

Examples Take natural log of both sides Exact Round to 3 digits

Homework #605 Pg. 369 1 – 49 odd