Solving Logarithmic Equations PART ONE
Recall: If we have like bases then the exponents are equal. Use Quadratic Formula or Factor or P/Q. 0 = (x - 4)(x + 1)
YOU CANNOT DIVIDE 14 by 2 NOR CAN YOU CANCEL OUT THE LOGS!!! Divide by 3 first. Take the log of both sides so that we can use the PROPERTIES!!! log log Remember that log 2 is just a number so divided both sides by log 2. log 2 log 2 = 3.807
log log log 3 log 3 Move 4 and divide by 2. Let’s take a log of each side. log log Now that we’ve take the log of each side we can use are properties. log 3 log 3
ln ln Move 4. Because we have an “e” we use natural logs. Remember that the ln e is ONE!!!
Set each factor equal to zero and solve using natural logs. Use QF or factor Set each factor equal to zero and solve using natural logs.