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# 4_5 - a MN = log a M log a N where 0< a 6 = 1 M,N> 0...

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Section 4.5: Logarithmic and Exponential Equations Instructor: Ms. Hoa Nguyen The logarithmic function y = log a x with 0 < a = 1 and the exponential function y = a x with 0 < a = 1 are one-to-one functions and inverse functions of each other. Hence, we have the 1st set of properties which are used to solve logarithmic or exponential equations: p = log R L ⇐⇒ L = R p a log a x = x log a a x = x Example 1 : Example 2 : 1

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Example 3 : Example 4 : Reminder : The Log of a Product equals the Sum of the Logs:
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Unformatted text preview: a ( MN ) = log a M + log a N where 0 < a 6 = 1, M,N > 0. • The Log of a Quotient equals the Diﬀerence of the Logs: log a ( M N ) = log a M-log a N where 0 < a 6 = 1, M,N > 0. Example 5 : The 2nd set of properties which are used to solve logarithmic or exponential equations: • If a x = a y , then x = y . • If log a M = log a N , then M = N . Reminder : rlog a M = log a M r 2 Example 6 : Example 7 : Example 8 : 3...
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