RINGKASAN MATERI LOGARITMA

Hasil dari $\frac{{}_{}{}^3{\log }^{2}18-{}_{}{}^3{\log }^{2}2}{{}_{}{}^3\log 6}+\frac{2\log 6-\log 2}{\log 6+\log 3}=...$

1. $3$

2. $4$

3. $5$

4. $6$

5. $7$

Hasil dari $\left(\frac{3}{\log 5}-1\right)\left({}_{}{}^{10\sqrt{2}}\log 125\right)=...$

1. $6$

2. $5$

3. $4$

4. $3$

5. $2$

Jika ${}_{}{}^3\log 18=m$ maka ${}_{}{}^{24}\log 3=...$

1. $7-3m$

2. $3m-7$

3. $\frac{1}{3m-7}$

4. $3m-5$

5. $\frac{1}{3m-5}$

Hasil dari ${\left(5\sqrt{5}\right)}^{2{}_{}{}^5\log 3+{}_{}{}^5\log 4}=...$

1. $144$

2. $216$

3. $243$

4. $288$

5. $676$

Himpunan nilai $x$ yang memenuhi persamaan ${}_{}{}^5\log (2x-7)+{}_{}{}^5\log \left(x-11\right)={}_{}{}^4\log 64$ adalah ...

1. $\left\{2,\mathit{}\frac{3}{2}\right\}$

2. $\left\{2\right\}$

3. $\left\{-16,\frac{3}{2}\right\}$

4. $\left\{16\right\}$

5. $\left\{16,-\frac{3}{2}\right\}$

Jika $\left\{\begin{array}{c}\log x^{2}y=35\\ \log x{y}^3\sqrt{x}=33\end{array}\right.$ maka nilai dari ${}_{}{}^{x{y}^4}\log \left(\frac{1000x}{y^4}\right)=\dots$

1. $1$

2. $\mathrm{0,5}$

3. $\mathrm{0,25}$

4. $\mathrm{0,75}$

5. $\mathrm{1,25}$