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Solving Logarithmic Equations
PART ONE
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Recall: If we have like bases then the exponents are equal.
Use Quadratic Formula or Factor or P/Q. 0 = (x - 4)(x + 1)
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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
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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
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ln ln Move 4. Because we have an “e” we use natural logs.
Remember that the ln e is ONE!!!
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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.
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