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Pc 3.4 notes
1.
3.4: Exponential and Logarithmic Equations Essential Question: How do you solve exponential and logarithmic equations?
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2.
2
3.
3
4.
Strategies for solving logarithmic and exponential equations: 1﴿ Rewrite in inverse form and use oneto one 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! 4
5.
Ex. 1) Solve.
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6.
Ex. 2) Solve
for x. 6
7.
Ex. 3) Solve.
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8.
Ex. 4) Solve.
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9.
Ex. 5) Solve.
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10.
Ex. 6) Solve.
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11.
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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15.
Assignment: 3.4 WS Solving
Logs and Exponents 15
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