Bantu saya ngerjain no 17, pakai caranya...tolong bgt
Takamori37
Nomor 17.
![$\begin{align}\frac{(^3\log36)^2-(^3\log4)^2}{^3\log\sqrt{12}}&=\frac{(^3\log36+\,^3\log4)(^3\log36-\,^3\log4)}{^3\log(12)^{1/2}} \\ &=\frac{^3\log(36\times4)\times\,^3\log(36:4)}{\frac12\times\,^3\log12} \\ &=\frac{^3\log144\times\,^3\log9}{\frac12\times\,^3\log12} \\ &=\frac{^3\log(12^2)\times\,^3\log9}{\frac12\times\,^3\log12} \\ &=\frac{2\times\,^3\log12\times\,^3\log9}{\frac12\times\,^3\log12} \\ &=\frac{2}{\frac12}\times\,^3\log9 \\ &=4\times2 \\ &=8\ \ [C]\end{align}](https://tex.z-dn.net/?f=%24%5Cbegin%7Balign%7D%5Cfrac%7B%28%5E3%5Clog36%29%5E2-%28%5E3%5Clog4%29%5E2%7D%7B%5E3%5Clog%5Csqrt%7B12%7D%7D%26%3D%5Cfrac%7B%28%5E3%5Clog36%2B%5C%2C%5E3%5Clog4%29%28%5E3%5Clog36-%5C%2C%5E3%5Clog4%29%7D%7B%5E3%5Clog%2812%29%5E%7B1%2F2%7D%7D+%5C%5C+%26%3D%5Cfrac%7B%5E3%5Clog%2836%5Ctimes4%29%5Ctimes%5C%2C%5E3%5Clog%2836%3A4%29%7D%7B%5Cfrac12%5Ctimes%5C%2C%5E3%5Clog12%7D+%5C%5C+%26%3D%5Cfrac%7B%5E3%5Clog144%5Ctimes%5C%2C%5E3%5Clog9%7D%7B%5Cfrac12%5Ctimes%5C%2C%5E3%5Clog12%7D+%5C%5C+%26%3D%5Cfrac%7B%5E3%5Clog%2812%5E2%29%5Ctimes%5C%2C%5E3%5Clog9%7D%7B%5Cfrac12%5Ctimes%5C%2C%5E3%5Clog12%7D+%5C%5C+%26%3D%5Cfrac%7B2%5Ctimes%5C%2C%5E3%5Clog12%5Ctimes%5C%2C%5E3%5Clog9%7D%7B%5Cfrac12%5Ctimes%5C%2C%5E3%5Clog12%7D+%5C%5C+%26%3D%5Cfrac%7B2%7D%7B%5Cfrac12%7D%5Ctimes%5C%2C%5E3%5Clog9+%5C%5C+%26%3D4%5Ctimes2+%5C%5C+%26%3D8%5C+%5C+%5BC%5D%5Cend%7Balign%7D "$\begin{align}\frac{(^3\log36)^2-(^3\log4)^2}{^3\log\sqrt{12}}&=\frac{(^3\log36+\,^3\log4)(^3\log36-\,^3\log4)}{^3\log(12)^{1/2}} \\ &=\frac{^3\log(36\times4)\times\,^3\log(36:4)}{\frac12\times\,^3\log12} \\ &=\frac{^3\log144\times\,^3\log9}{\frac12\times\,^3\log12} \\ &=\frac{^3\log(12^2)\times\,^3\log9}{\frac12\times\,^3\log12} \\ &=\frac{2\times\,^3\log12\times\,^3\log9}{\frac12\times\,^3\log12} \\ &=\frac{2}{\frac12}\times\,^3\log9 \\ &=4\times2 \\ &=8\ \ [C]\end{align}")
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