# Masharti muhimu Sura ya 10: Kazi za kielelezo na za Logarithmic

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kazi ya kawaida ya logarithmic Kazi$$f(x)=\log{x}$$ ni kazi ya kawaida ya logarithmic na base10, wapi$$x>0$$. $y=\log{x} \text{ is equivalent to } x=10^y$
kazi ya logarithmic Kazi$$f(x)=\log_a{x}$$ ni kazi ya logarithmic na msingi$$a$$, wapi$$a>0$$,$$x>0$$, na$$a≠1$$. $y=\log_a{x} \text{ is equivalent to } x=a^y$
kazi ya asili ya logarithmic Kazi$$f(x)=\ln(x)$$ ni kazi ya asili ya logarithmic na msingi$$e$$, wapi$$x>0$$. $y=\ln{x} \text{ is equivalent to } x=e^y$
isiyo ya kawaida Mstari ambao graph ya kazi inakaribia kwa karibu lakini kamwe inagusa.
kazi ya kielelezo Kazi ya kielelezo, wapi$$a>0$$ na$$a≠1$$, ni kazi ya fomu$$f(x)=a^x$$.
msingi wa asili idadi$$e$$ hufafanuliwa kama thamani ya$$(1+\frac{1}{n})^n$$, kama$$n$$ anapata kubwa na kubwa. Tunasema, kama$$n$$ ongezeko bila kufungwa,$$e≈2.718281827...$$
kazi ya kielelezo ya asili Kazi ya kielelezo ya asili ni kazi ya kielelezo ambayo msingi wake ni$$e$$:$$f(x)=e^x$$. Kikoa ni$$(−∞,∞)$$ na upeo ni$$(0,∞)$$.
kazi moja kwa moja Kazi ni moja kwa moja ikiwa kila thamani katika upeo ina kipengele kimoja katika kikoa. Kwa kila jozi kuamuru katika kazi, kila$$y$$ -thamani ni kuendana na moja tu$$x$$ -thamani.
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