Jika a = [ 12 ]m dan b = [ 12 ]12 . ( a x b ) = [ 12 ] n. Berapakah nilai m dan n jika n = 4m?
Penjelasan dengan langkah-langkah:
[tex]a = {12}^{m} [/tex]
[tex]b = {12}^{12} [/tex]
[tex]n = 4m[/tex]
[tex] \: [/tex]
[tex](a \times b) = {12}^{n} [/tex]
[tex] {12}^{m} \times {12}^{12} = {12}^{4m} [/tex]
[tex] {12}^{m + 12} = {12}^{4m} [/tex]
[tex]m + 12 = 4m[/tex]
[tex]12 = 4m - m[/tex]
[tex]12 = 3m[/tex]
[tex]m = \frac{12}{3} = 4[/tex]
[tex] \: [/tex]
[tex]n = 4m[/tex]
[tex]n = 4.4[/tex]
[tex]n = 16[/tex]
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