nilai dari ekspresi dibawah adalah? [tex] \frac{1}{ {}^{81} log4 } - \frac{1}{ {}^{3} log2 } [/tex]

[tex] \frac{1}{^{81}log4} - \frac{1}{^3log2} \\ = \frac{^3log2 - ^{81}log4}{(^{81}log4)(^3log2)} \\ = \frac{^3log2 - ^{3^{4}}log2^2}{(^{3^{4}}log2^2)(^3log2)} \\ = \frac{^3log2 - \frac{2}{4}^3log2}{(\frac{2}{4}^3log2)(^3log2)} \\ = \frac{\frac{1}{2}^3log2}{\frac{1}{2}(^3log2)^2} \\ = \frac{1}{^3log2} \\ = ^2log3 [/tex]