Nilai n dari (- 7/2)^n = -48 adalah ...
baca : (min tujuh per dua)pangkat n = min empat puluh delapan
baca : (min tujuh per dua)pangkat n = min empat puluh delapan
MicoArrafi
![$\begin{align} \left[\ -\frac{7}{2}\ \right]^n&=-48\\n&={^{-\frac{7}{2}}}\log(-48)\\&=\frac{\log(-48)}{\log\left(-\frac{7}{2}\right)}\\&=\frac{^2\log16+{^2}\log(-3)}{^2\log(-7)-{^2}\log2}\\&=\boxed{\frac{4+{^2}\log(-3)}{^2\log(-7)-1}} \end](https://tex.z-dn.net/?f=%24%5Cbegin%7Balign%7D+%5Cleft%5B%5C+-%5Cfrac%7B7%7D%7B2%7D%5C+%5Cright%5D%5En%26%3D-48%5C%5Cn%26%3D%7B%5E%7B-%5Cfrac%7B7%7D%7B2%7D%7D%7D%5Clog%28-48%29%5C%5C%26%3D%5Cfrac%7B%5Clog%28-48%29%7D%7B%5Clog%5Cleft%28-%5Cfrac%7B7%7D%7B2%7D%5Cright%29%7D%5C%5C%26%3D%5Cfrac%7B%5E2%5Clog16%2B%7B%5E2%7D%5Clog%28-3%29%7D%7B%5E2%5Clog%28-7%29-%7B%5E2%7D%5Clog2%7D%5C%5C%26%3D%5Cboxed%7B%5Cfrac%7B4%2B%7B%5E2%7D%5Clog%28-3%29%7D%7B%5E2%5Clog%28-7%29-1%7D%7D+%5Cend "$\begin{align} \left[\ -\frac{7}{2}\ \right]^n&=-48\\n&={^{-\frac{7}{2}}}\log(-48)\\&=\frac{\log(-48)}{\log\left(-\frac{7}{2}\right)}\\&=\frac{^2\log16+{^2}\log(-3)}{^2\log(-7)-{^2}\log2}\\&=\boxed{\frac{4+{^2}\log(-3)}{^2\log(-7)-1}} \end")
1 votes
Thanks 0