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3.4: Exponential and Logarithmic Equations

Essential Question:How do you solve exponential and logarithmic equations?

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Strategies for solving logarithmic and exponential equations:

1﴿ Rewrite in inverse form and use one­to­one properties

2﴿ For exponential equations, isolate the base and log both sides.

3﴿ For logarithmic functions, isolate the log and exponentiate both sides.

Watch for extraneous solutions!

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Ex. 1) Solve.

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Ex. 2) Solve for x.

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Ex. 3) Solve.

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Ex. 4) Solve.

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Ex. 5) Solve.

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Ex. 6) Solve.

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Applications!Ex. 7﴿ You have deposited $1000 in an account that pays 6.25% interest, compounded continuously.  How long will it take your money to double?

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Assignment:

3.4 WS Solving Logs and Exponents