Question 375095
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Take the log of both sides:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \log\left(8^x\right)\ =\ \log(897)]


Then use:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \log_b(x^n)\ =\ n\log_b(x)]


to write


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\log\left(8\right)\ =\ \log(897)]


Divide both sides by *[tex \Large \log(8)]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ \frac{\log(897)}{\log(8)}]


The rest is pushing calculator buttons and rounding appropriately.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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