Jika log₃(x − 2) + log₃(x + 2) = 2, maka x = ...
Answer (4)
Even though they weren't risking their life like going to the war for example the endless wait and unknown path was more fearful
Annemarie's thoughts reflect a common theme in literature: the anticipation of danger can be more paralyzing than the danger itself, causing deep psychological fear and agitation.
The quote from Annemarie in the provided text suggests a reflection on the experience of waiting in fear, and how that can sometimes feel more daunting than the danger itself. This sentiment reflects the idea that the anticipation of an event can be as paralyzing as the event itself. Throughout literature, characters have conveyed a sense of dread in the face of uncertain outcomes, resulting in an agitation of soul and sometimes leading to a state of inaction. This contrasts with a physical threat where the danger is tangible and reactions are often immediate and decisive. The fear of the unknown and the waiting for what might happen can be deeply unsettling, thereby making the act of waiting a profoundly intense experience. The various texts resonate with this theme, each character grappling with apprehension and the psychological impact of fear.
Annemarie's thoughts express the intense emotional burden faced by those waiting for loved ones during war. This waiting period is filled with fear and uncertainty, which can feel more daunting than the actual danger of combat. It reflects the internal struggles and isolation experienced by families during such turbulent times.
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Jawaban:semoga membantuPenjelasan dengan langkah-langkah: Ringkasan Masalah: Diberikan persamaan logaritma log₃(x − 2) + log₃(x + 2) = 2. Kita diminta untuk mencari nilai x yang memenuhi persamaan tersebut. Solusi: 1. Menggunakan Sifat Logaritma:- Sifat penjumlahan logaritma: logₐ(b) + logₐ(c) = logₐ(b * c)- Dengan menggunakan sifat ini, persamaan awal dapat ditulis menjadi:log₃((x − 2)(x + 2)) = 22. Menyederhanakan Persamaan:- (x − 2)(x + 2) adalah bentuk (a - b)(a + b) = a² - b²- Sehingga, persamaan menjadi: log₃(x² − 4) = 23. Mengubah Bentuk Logaritma ke Bentuk Eksponensial:- logₐ(b) = c ekuivalen dengan aᶜ = b- Dalam kasus ini, log₃(x² − 4) = 2 ekuivalen dengan 3² = x² − 44. Menyelesaikan Persamaan Kuadrat:- 3² = x² − 4- 9 = x² − 4- x² = 9 + 4- x² = 13- x = ±√135. Memeriksa Solusi:- Kita harus memeriksa apakah solusi yang diperoleh memenuhi syarat bahwa argumen logaritma harus positif.- x − 2 > 0 dan x + 2 > 0- Untuk x = √13:- √13 − 2 ≈ 3.61 − 2 = 1.61 > 0 (memenuhi)- √13 + 2 ≈ 3.61 + 2 = 5.61 > 0 (memenuhi)- Untuk x = −√13:- −√13 − 2 ≈ −3.61 −
