Perhatikan gambar berikut! Fungsi logaritma yang sesuai dengan grafik di atas adalah .... A. y=^(3)log2x B. y=^(3)log(x−2) C. y=^(3)log(x+2) D. y=^(3)logx − 2 E. y=^(3)logx + 2

<p>Jawaban : C&nbsp;</p><p>&nbsp;</p><p>Ingat!&nbsp;</p><p>Asimtot dari fungsi f(x) = ^(a)log(bx+c) adalah bx+c = 0</p><p>## ^(a)log1 = 0&nbsp;</p><p>## ^(a)log(a^(n)) = n&nbsp;</p><p>&nbsp;</p><p>Diketahui f(x) = ^(a)log(bx+c)&nbsp;</p><p>&nbsp;</p><p>Grafik fungsi melalui (-1,0)&nbsp;</p><p>f(-1) = 0&nbsp;</p><p>^(a)log(-b+c) = 0&nbsp;</p><p>^(a)log(-b+c) = ^(a)log(1)&nbsp;</p><p>-b+c = 1&nbsp;</p><p>&nbsp;</p><p>Grafik fungsi melalui (1,1)&nbsp;</p><p>f(1) = 1&nbsp;</p><p>^(a)log(b+c) = 1&nbsp;</p><p>^(a)log(b+c) = ^(a)log(a)&nbsp;</p><p>b+c = a&nbsp;</p><p>&nbsp;</p><p>Diketahui asimtotnya adalah x = -2&nbsp;</p><p>&nbsp;</p><p>Asimtot dari fungsi f(x) = ^(a)log(bx+c) adalah&nbsp;</p><p>bx+c = 0&nbsp;</p><p>bx = -c&nbsp;</p><p>x = -c/b&nbsp;</p><p>-2 = -c/b&nbsp;</p><p>2b = c&nbsp;</p><p>&nbsp;</p><p>Substitusi c = 2b ke -b+c = 1&nbsp;</p><p>-b+(2b) = 1&nbsp;</p><p>b = 1&nbsp;</p><p>&nbsp;</p><p>c = 2(1)&nbsp;</p><p>c = 2&nbsp;</p><p>b+c = a&nbsp;</p><p>(1)+(2) = a&nbsp;</p><p>3 = a&nbsp;</p><p>&nbsp;</p><p>Sehingga&nbsp;</p><p>f(x) = ^(a)log(bx+c)&nbsp;</p><p>f(x) = ^(3)log(x+2)&nbsp;</p><p>&nbsp;</p><p>Jadi, persamaan grafik tersebut adalah f(x) = ^(3)log(x+2)&nbsp;</p><p>Pilihan jawaban yang benar adalah C</p>