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القناة الأساسية
@stepbystep001

ومـما زادني شـرفـاً وتـيــهـاً
وكدت بأخمصي أطأ الـثريا
دخولي تحت قولك يا عبادي
وأن صـيَّرت أحمد لي نـبيـا
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a^x = a^y ⇒ x=y
so the function is one to one
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Q = {x:x=p/q, p,q ∈ Z, p ≠0 }
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ازاي تجيب الدالة العكسية بعد ماتتاكد انها one to one
مثلا
f(x) = x + 1 // f(x) = y
y = x + 1 // x فطرف لوحدها
x = y - 1 // بدل الرموز الاكس والواي
يبقى الدالة العكسية f(x) = x -1
f^-1(x) = f(x) - 1
معرفش دي قاعدة عامة ولا لا بس اتكررت فمسالتين
a^x.a^y =
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a^xy
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a^(x+y)
المحاضرة الخامسة 👇
y= log(a) x
x =
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a^y
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y^a
log(a) x^n = n log(a) x
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log(a) a =
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0
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a
log(a) 1 =
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0
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1
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a
log(a) a^x =
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1
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a
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x
a^log(a) x =
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x^a
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a^x
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x^2
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x
f(x) = log(a)x
Domain =
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R
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R+
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R+ - {1}
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f(x) = log(a)x
Range =
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R+
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R+ - {1}
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log(e) x = ln e
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log(2) x = lig x
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log(a)x = log(b)x / log(b)a
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x = a^y ⇔ log(a) x = log(a) a^y
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