Gambar 1 nomer 11 Gambar 2 nomer 12,13,14, dan 15 Gambar 3 nomer 16,17 dan 18 Gambar 4 nomer 19,20 d.... Question from @chikajessicaa

October 2018 1 76 Report

Gambar 1 nomer 11
Gambar 2 nomer 12,13,14, dan 15
Gambar 3 nomer 16,17 dan 18
Gambar 4 nomer 19,20 dan 21
Gambar 5 nomer 22 dan 23

Help me please

ImmanuelSinaga Gambar pertama
$10)~~~\text{No 10 kurang lengkap bagiannya} \\ \\ 11)~~~0,0000034~=~3,4~\times~10^{-6}$

Gambar kedua
$$\begin{align}12)~~~4^{3x}~&=~16^{x-1} \\ (2^2)^{3x}~&=~(2^4)^{x-1} \\ 2^{6x}~&=~2^{4x-4} \\ 6x~&=~4x-4 \\ 6x-4x~&=~-4 \\ 2x~&=~-4 \\ x~&=~-2 \\ 13)~~~a^n\text{selalu negatif jika }&\text{~C.~~a~negatif~dan~n~ganjil} \\ 14)~~~x^\frac{4}{3}~y^\frac{1}{2}~z^\frac{3}{4}~&=~(8)^\frac{4}{3}~(25)^\frac{1}{2}~(81)^\frac{3}{4} \\ &=~(2^3)^\frac{4}{3}~(5^2)^\frac{1}{2}~(3^4)^\frac{3}{4} \\ &=~2^{3~\times~\frac{4}{3}}~5^{2~\times~\frac{1}{2}}~3^{4~\times~\frac{3}{4}} \\ &=~2^4~.~5~.~3^3~=~D.~~2160 \\ \end{align}$ $15)~~~\text{Tidak termasuk bentuk akar adalah~~~~~}D.~~\sqrt{0,36}$

Gambar ketiga
$$\begin{align} 16)~~~7\sqrt{50}~-~\sqrt{18}~-~3\sqrt{32}~~&=~~7\sqrt{5^2~\times~2}~-~\sqrt{3^2~\times~2}~-~3\sqrt{2^5} \\ &=~~(7\times5)\sqrt{2}~-~3\sqrt{2}~-~(3\times2^2)\sqrt{2} \\ &=~~35\sqrt{2}~-~3\sqrt{2}~-~12\sqrt{2} \\ &=~~(35-3-12)\sqrt{2} \\ &=~~20\sqrt{2} \end{align}$

$$\begin{align}17)~~~\frac{2}{3\sqrt{6}}~~&=~~\frac{2}{3\sqrt{6}}~\times~\frac{\sqrt{6}}{\sqrt{6}} \\ &=~~\frac{2\sqrt{6}}{3\times 6} \\ &=~~\frac{2\sqrt{6}}{18} \\ &=~~\frac{1}{9}\sqrt{6} \end{align}$

$$\begin{align} 18)~~~L_{uas}{~~&=~~panjang~~\times~~lebar} \\ &=~~(3+3\sqrt{3})cm~~\times~(4-\sqrt{3})cm \\ &=~~[3(4-\sqrt{3})~+~3\sqrt{3}(4-\sqrt{3})~]~cm^2 \\ &=~~12~-~3\sqrt{3}~+~12\sqrt{3}~-~9 \\ &=~~3~+~9\sqrt{3}~~~cm^2 \\ &=~~\text{mungkin ada kesalahan pada option}\end{align}$

Gambar keempat
$$\begin{align} 19)~~~\sqrt{21}+4\sqrt{20}~&=~\sqrt{21}~+~2\sqrt{2^2~\times~20} \\ &=~~\sqrt{21}~+~2\sqrt{80} \\ &=~~\sqrt{5~+~16}~+~2\sqrt{5~\times~16} \\ &=~~\sqrt{5}~+~\sqrt{16} \\ &=~~4~+~\sqrt{5} \\ \\ 20)~~~x&=\sqrt[3]{2+\sqrt[3]{27}} \\ x^3&=\left(\sqrt[3]{2+\sqrt[3]{27}}\right)^3 \\ x^3&={2+\sqrt[3]{27}} \\ &=2~+~\sqrt[3]{3^3} \\ &=~2~+~3 \\ &=~5\end{align}$ $$\begin{align} 21)~~~ Nilai~~~dari~~~\frac{\sqrt{a}~\times~a^{-\frac{2}{3}}}{\sqrt[6]{a^5}}~~&=~\frac{a^\frac{1}{2}~\times~a^{-\frac{2}{3}}}{a^\frac{5}{6}} \\ &=~a^{^\displaystyle{\frac{1}{2}~-~\frac{2}{3}~-~\frac{5}{6}}} \\ &=~a^{^\displaystyle{\frac{3-4-5}{6}}} \\ &=~a^{^\displaystyle{-1}} \\ &=~\frac{1}{a}~=~\frac{1}{6}\end{align}$

Gambar kelima
$\displaystyle \boxed{\bold{a^c~=~b~~===\ \textgreater \ ~~~^alog~b~=~c}}} \\ \\ 22)~~~3^{-3}~=~\frac{1}{27} \\ \\ ~~~~~~~~^3log~\left(\frac{1}{27}\right)~=~-3$ $$\begin{align} 23)~~~~^3log~16~+~^3log~5~-~^3log~10~~&=~^3log~\left(\frac{16~\times~5}{10}\right) \\ &=~^3log~\left(\frac{80}{10}\right) \\ &=~^3log~8\end{align}$

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