Jika b = a^4, a dan b bilangan real positif, a tdk sama dgn 1, b tdk sama dgn 1 tentukan nilai ^a log b – ^b log a!

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Jika b = a^4, a dan b bilangan real positif, a tdk sama dgn 1, b tdk sama dgn 1 tentukan nilai ^a log b – ^b log a!

Jawaban Terkonfirmasi

^{a}logb - ^{b}loga = ^{a}loga^{4} - ^{a^{4}}loga \\ = 4.^{a}loga - frac{1}{4}.^{a}loga \\ = 4 - frac{1}{4} \\ boxed{boxed{bold{ = frac{15}{4}}}}

B=a^4,
^alogb-^bloga=^alog(a^4)-^(a^4)loga=
4-(1/4)=15/4