Nilai x yang memenuhi persamaan 3 pangkat 2x+1 + 3 pangkat 2x+2 = 4∛9 pangkat x-2 adalah…
a. -1,25 b. -1,5 c.1,75 d.-2,25 e.-2,75
a. -1,25 b. -1,5 c.1,75 d.-2,25 e.-2,75
MicoArrafi
![$\begin{align} 3^{2x+1}+3^{2x+2}&=4\sqrt[3]{9^{x-2}}\\3^{2x}\ (\ 3^1+3^2\ )&=4\times3^{\frac{2}{3}(x-2)}\\3^{2x}\times12&=4\times3^{\frac{2}{3}(x-2)}\\3^{2x}\times3&=3^{\frac{2}{3}(x-2)}\\3^{2x+1}&=3^{\frac{2}{3}(x-2)}\\2x+1&=\frac{2x-4}{3}\\6x+3&=2x-4\\6x-2x&=-4-3\\4x&=-7\\x&=\bold{-1,75} \end](https://tex.z-dn.net/?f=%24%5Cbegin%7Balign%7D+3%5E%7B2x%2B1%7D%2B3%5E%7B2x%2B2%7D%26%3D4%5Csqrt%5B3%5D%7B9%5E%7Bx-2%7D%7D%5C%5C3%5E%7B2x%7D%5C+%28%5C+3%5E1%2B3%5E2%5C+%29%26%3D4%5Ctimes3%5E%7B%5Cfrac%7B2%7D%7B3%7D%28x-2%29%7D%5C%5C3%5E%7B2x%7D%5Ctimes12%26%3D4%5Ctimes3%5E%7B%5Cfrac%7B2%7D%7B3%7D%28x-2%29%7D%5C%5C3%5E%7B2x%7D%5Ctimes3%26%3D3%5E%7B%5Cfrac%7B2%7D%7B3%7D%28x-2%29%7D%5C%5C3%5E%7B2x%2B1%7D%26%3D3%5E%7B%5Cfrac%7B2%7D%7B3%7D%28x-2%29%7D%5C%5C2x%2B1%26%3D%5Cfrac%7B2x-4%7D%7B3%7D%5C%5C6x%2B3%26%3D2x-4%5C%5C6x-2x%26%3D-4-3%5C%5C4x%26%3D-7%5C%5Cx%26%3D%5Cbold%7B-1%2C75%7D+%5Cend "$\begin{align} 3^{2x+1}+3^{2x+2}&=4\sqrt[3]{9^{x-2}}\\3^{2x}\ (\ 3^1+3^2\ )&=4\times3^{\frac{2}{3}(x-2)}\\3^{2x}\times12&=4\times3^{\frac{2}{3}(x-2)}\\3^{2x}\times3&=3^{\frac{2}{3}(x-2)}\\3^{2x+1}&=3^{\frac{2}{3}(x-2)}\\2x+1&=\frac{2x-4}{3}\\6x+3&=2x-4\\6x-2x&=-4-3\\4x&=-7\\x&=\bold{-1,75} \end")
1 votes
Thanks 1
anitanovelia77
tolong bantuin pr ku dong,hari ini dikumpul,plisss liat di profil aku aja,disiu ada pertanyaan
MuhammadHanifFajar
tolong jelasin knp yg 3 pangkat 2x.3
MuhammadHanifFajar
bisa jadi 3 pangkat 2x+1??
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