Question 197378
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*[tex \LARGE \ \ \ \ \ \ \ \ \ \ y = 4\log_3{(x - 2)}]


Multiply both sides by 4:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{y}{4} = \log_3{(x - 2)}]


Now use:


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


so:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 3^{\frac{y}{4}} = x - 2]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x = 3^{\frac{y}{4}} + 2]


Plug in whatever values you want for <b><i>y</i></b> and start punching your calculator.



*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 3^{\frac{-3}{4}} + 2 \approx 2.44] 


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