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MATH 115 QUIZ 3 2022

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MATH 115 QUIZ 3 SOLUTONS 1. (a) Let x=log6 1 7776 State the corresponding exponential form of this logarithmic equation. logb v=x means v=b x Thus, the exponential firm of this equation is 6 x= 1 7776 (b) Determine the numerical value of log6 1 7776 in simplest form. Note that 7776=6 5 . Thus 1 7776 =6 −5 So, we have 6 x=6 −5 x=−5 2. Use an appropriate change of base formula to approximate log3 36 to the nearest hundredth. By the change of base formula, we have logb x= ln x ln b Thus, log3 36= ln 36 ln 3 =3.2619

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