(abc)/(xyz) = ??
repost soal thn lalu :v
》Eksponen
[tex] \: [/tex]
Nilai z =
[tex] {1.024}^{z} = {32.768}^{2} [/tex]
[tex] {( {32}^{2 } ) }^{z} = {( {32}^{3}) }^{2} [/tex]
[tex] \: \: \: \: {32}^{2z} = {32}^{6} [/tex]
[tex]2z = 6[/tex]
[tex] \: \: z = 3[/tex]
[tex] \: [/tex]
Nilai y =
[tex] \: \: \: {64}^{y} = {1.024}^{3} [/tex]
[tex] {( {4}^{3} )}^{y} = {( {4}^{5}) }^{3} [/tex]
[tex] \: \: \: \: {4}^{3y} = {4}^{15} [/tex]
[tex]3y = 15[/tex]
[tex] \: \: y = 5[/tex]
[tex] \: [/tex]
Nilai x =
[tex] \: \: \: {32}^{x} = {64}^{5} [/tex]
[tex] {( {2}^{5} )}^{x} = {( {2}^{6} )}^{5} [/tex]
[tex] \: \: \: \: {2}^{5x} = {2}^{30} [/tex]
[tex]5x = 30[/tex]
[tex] \: \: x = 6[/tex]
[tex] \: [/tex]
Nilai c =
[tex] \: \: {8}^{c} = {32}^{6} [/tex]
[tex] {2}^{3c} = {2}^{30} [/tex]
[tex]3c = 30[/tex]
[tex] \: \: c = 10[/tex]
[tex] \: [/tex]
Nilai b =
[tex] \: \: {4}^{b} = {8}^{10} [/tex]
[tex] {2}^{2b} = {2}^{30} [/tex]
[tex]2b = 30[/tex]
[tex] \: \: b = 15[/tex]
[tex] \: \: [/tex]
Nilai a =
[tex] {2}^{a} = {4}^{15} [/tex]
[tex] {2}^{a} = {( {2}^{2} )}^{15} [/tex]
[tex] {2}^{a} = {2}^{30} [/tex]
[tex]a = 30[/tex]
[tex] \: [/tex]
Didapatkan =
a = 30, b = 15, c = 10,
x = 6, y = 5, z = 3
[tex] \: [/tex]
Maka, abc/xyz
= 30.15.10/6.5.3
= 4.500/90
= 50
[tex] \: [/tex]
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