1.8-bo'lim: Logarifm funktsiyalari
Kalkulyatordan foydalanmasdan, quyidagi har birining aniq qiymatini aniqlang.
- \({\log _3}81\) Yechim
- \({\log _5}125\) Yechim
- \(\displaystyle {\log _2}\frac{1}{8}\) Yechim
- \(\displaystyle {\log _{\frac{1}{4}}}16\) Yechim
- \(\ln {{\bf{e}}^4}\) Yechim
- \(\displaystyle \log \frac{1}{{100}}\) Yechim
Quyidagilarning har birini oddiyroq logarifmlar shaklida yozing.
- \(\log \left( {3{x^4}{y^{ - 7}}} \right)\) Yechim
- \(\ln \left( {x\sqrt {{y^2} + {z^2}} } \right)\) Yechim
- \(\displaystyle {\log _4}\left( {\frac{{x - 4}}{{{y^2}\,\sqrt[5]{z}}}} \right)\) Yechim
Quyidagilarning har birini bitta koeffitsientli bitta logarifmaga birlashtiring.
- \(\displaystyle 2{\log _4}x + 5{\log _4}y - \frac{1}{2}{\log _4}z\) Yechim
- \(3\ln \left( {t + 5} \right) - 4\ln t - 2\ln \left( {s - 1} \right)\) Yechim
- \(\displaystyle \frac{1}{3}\log a - 6\log b + 2\) Yechim
Quyidagilarning har birining qiymatini topish uchun asosiy formulani o'zgartirish va kalkulyatordan foydalaning.