Matematika

Pertanyaan

jawabannya apa yaaaa?
jawabannya apa yaaaa?

1 Jawaban

  • Gunakan sifat [tex]\log_abc=\log_ab+\log_ac[/tex] , [tex]a^2-b^2=(a+b)(a-b)[/tex], dan [tex]\log_{a^b}a^c=\frac{c}{b}[/tex]
    [tex]= \log_8\sqrt{8+2\sqrt{12}} + \log_8\sqrt{8-2\sqrt{12}} \\= \log_8(\sqrt{8+2\sqrt{12}})(\sqrt{8-2\sqrt{12}}) \\ =\log_8(\sqrt{8^2-(2\sqrt{12})^2} \\ =\log_8\sqrt{64-48} \\=\log_8 \sqrt{16} \\ =\log_8 4 \\ =\log_{2^3}2^2 \\ = \frac{2}{3}[/tex]