Quiz[25/30]
materi : Logaritma
kelas : X
mata pelajaran : matematika
⁵Log100 - ⁵ Log 4 =
RULES ✍︎ :
• pakai cara
• no ngasal / ngasal ➪ auto report
• jawaban harus rapi
• no copas dari web atau lainnya
• no kalkulator
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materi : Logaritma
kelas : X
mata pelajaran : matematika
⁵Log100 - ⁵ Log 4 =
RULES ✍︎ :
• pakai cara
• no ngasal / ngasal ➪ auto report
• jawaban harus rapi
• no copas dari web atau lainnya
• no kalkulator
Jawaban:
[tex]\large\text{$\begin{aligned}&{}^5\log100-{}^5\log4=\bf2\end{aligned}$}[/tex]
Pembahasan
Logaritma
[tex]\large\text{$\begin{aligned}&{}^5\log100-{}^5\log4\\&\quad\left[\ \normalsize\text{$\begin{aligned}{}^a\log b-{}^a\log c={}^a\log \frac{b}{c}\end{aligned}$}\right.\\&{=\ }{}^5\log\frac{100}{4}\\&{=\ }{}^5\log25\\&{=\ }{}^5\log5^2\\&\quad\left[\ \normalsize\text{$\begin{aligned}{}^a\log b^c=c\cdot{}^a\log b\end{aligned}$}\right.\\&{=\ }2\cdot{}^5\log5\\&\quad\left[\ \normalsize\text{$\begin{aligned}{}^a\log a=1\end{aligned}$}\right.\\&{=\ }2\cdot1\\&{=\ }\bf2\end{aligned}$}[/tex]
[answer.2.content]
