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Logarifm xossalari

10-sinf Algebra · 4-bob «Ko'rsatkichli va logarifmik funksiyalar» · 3-dars.

Daraja va uning teskarisi. Logarifm — «asosni qaysi darajaga ko'tarsak shu son chiqadi» degan savolning javobi.

Darsda 6 ta savol bor, har safar yangi sonlar bilan. Javob darhol tekshiriladi, xatolar esa keyin qayta so'raladi. Quyida shu darsdan namunalar.

Namunaviy savollar

Logarifm xossasini qo'llang
log a + log b = ?
0 · log(a/b) · log aⁿ · log(ab)
Javob va yechim
log(ab)
1. Logarifmlar yig'indisi — ko'paytmaning logarifmi: log a + log b = log(ab)
2. Daraja ko'rsatkichi logarifm oldiga chiqadi: n · log a = log aⁿ
3. Javob: log(ab)
Logarifm xossasini qo'llang
log 1 = ?
log aⁿ · 0 · log(ab) · log(a/b)
Javob va yechim
0
1. Logarifmlar yig'indisi — ko'paytmaning logarifmi: log a + log b = log(ab)
2. Daraja ko'rsatkichi logarifm oldiga chiqadi: n · log a = log aⁿ
3. Javob: 0
Logarifm xossasini qo'llang
log a − log b = ?
log aⁿ · 0 · log(ab) · log(a/b)
Javob va yechim
log(a/b)
1. Logarifmlar yig'indisi — ko'paytmaning logarifmi: log a + log b = log(ab)
2. Daraja ko'rsatkichi logarifm oldiga chiqadi: n · log a = log aⁿ
3. Javob: log(a/b)
Logarifm xossasini qo'llang
n · log a = ?
log(ab) · 0 · log aⁿ · log(a/b)
Javob va yechim
log aⁿ
1. Logarifmlar yig'indisi — ko'paytmaning logarifmi: log a + log b = log(ab)
2. Daraja ko'rsatkichi logarifm oldiga chiqadi: n · log a = log aⁿ
3. Javob: log aⁿ

Darsni boshlash

4-bob darslari