(a) Graph the two functions f(x) (ln x)/(ln 3) and g(x) ln

Chapter 5, Problem 74

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(a) Graph the two functions f(x) (ln x)/(ln 3) and g(x) ln x ln 3. (Use a viewing rectangle in which x extends from 0 to 10 and y extends from 5 to 5.) Why arent the two graphs identical? That is, doesnt one of the basic log identities say that (ln a)/(ln b) ln a ln b? (b) Your picture in part (a) indicates that Find a viewing rectangle in which (ln x)/(ln 3) ln x ln 3. ln x(c) Use the picture that you obtain in part (b) to estimatethe value of x for which (ln x)/(ln 3) ln x ln 3.(d) Solve the equation (ln x)/(ln 3) ln x ln 3 algebraicallyand use the result to check your estimate in part (c).In

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