Tentukan nilai logaritma berikut:

$1. 4 log 9 * 3log 125 * 25log 16 2. 1/2 log9 * 1/3 log 7 * 49 log 32$

Tentukan nilai logaritma berikut:

Jawaban Terkonfirmasi

$$begin{align} ^4log9times{^3}log125times{^{25}}log16&={^{2^2}}log3^2times{^3}log5^3times{^{5^2}}log4^2\&=3times{^2}log3times{^3}log5times{^5}log4\&=3times{^2}log4\&=3times2\&=boxed6 end$
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$$begin{align} ^{frac{1}{2}}log9times{^{frac{1}{3}}}log7times{^{49}}log32&={^{2^{-1}}}log3^2times{^{3^{-1}}}log7times{^{7^2}}log2^5\&=frac{2}{-1}timesfrac{1}{-1}timesfrac{5}{2}times{^2}log3times{^3}log7times{^7}log2\&=-2times-1timesfrac{5}{2}\&=boxed5 end$