Question 782862
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Use *[tex \LARGE \ \ \log_b\left(x\right)^n\ =\ n\log_b(x)]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \log_a(m\,-\,2)^{\large \frac{1}{2}}\LARGE\ =\ 1]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{1}{2}\log_a(m\,-\,2)\ =\ 1]


Multiply


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \log_a(m\,-\,2)\ =\ 2]


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


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ a^2\ =\ m\ -\ 2]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ m\ =\ a^2\ +\ 2]


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
<font face="Math1" size="+2">Egw to Beta kai to Sigma</font>
My calculator said it, I believe it, that settles it
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