Question 241188
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I'm just going to guess that you want to solve for *[tex \Large x].  Just so you know, your laziness in not taking the trouble to tell us what you want is rather annoying.


Use:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ y\ =\ \log_b(x) \ \ \Rightarrow\ \ b^y\ =\ x]


To write:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 7\ =\ \ln(3x\ -\ 4) \ \ \Rightarrow\ \ e^7\ =\ 3x\ -\ 4]


Since *[tex \Large e^7] is a constant, this equation can be solved for *[tex \Large x] in terms of a sum of the two constant terms you will have remaining after you simplify.  Leave your answer in terms of *[tex \Large e] to express the exact answer.  Use your calculator to obtain a numerical approximation.



John
*[tex \LARGE e^{i\pi} + 1 = 0]
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