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LOGARİTMA

Authored by Yasemin Ak

Mathematics

12th Grade

Used 19+ times

LOGARİTMA
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10 questions

Show all answers

1.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Aşağıdaki fonksiyonlardan üstel fonksiyon olanlarını işaretleyiniz

f(x)=2xf\left(x\right)=2^x

g(x)=(13)xg\left(x\right)=\left(\frac{1}{3}\right)^x

h(x)=(−3)−xh\left(x\right)=\left(-3\right)^{-x}

k(x)=1xk\left(x\right)=1^x

s(x)=2−xs\left(x\right)=2^{-x}

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 f:R→R+,f(x)=(5m−10)xf:R\rightarrow R^+,f\left(x\right)=\left(5m-10\right)^x   fonksiyonu, bir üstel fonksiyon olduğuna göre m nin en geniş değer aralığını bulunuz.

 (2,∞)\left(2,\infty\right)  

 (−∞,2)\left(-\infty,2\right)  

 (2,∞)−{115}\left(2,\infty\right)-\left\{\frac{11}{5}\right\}  

 (−∞,2)−{115}\left(-\infty,2\right)-\left\{\frac{11}{5}\right\}  

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

 f:R→R+, f(x)=4x−1+3 ise f(−1) f:R\rightarrow R^+,\ f\left(x\right)=4^{x-1}+3\ ise\ f\left(-1\right)\   değerini bulunuz

16

 116\frac{1}{16}  

 4916\frac{49}{16}  

 149\frac{1}{49}  

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 f(x)=log⁡3(x2−5x+6)f\left(x\right)=\log_3\left(x^2-5x+6\right)  fonksiyonunun en geniş tanım kümesini bulun

(2,3)

 (−∞,−3)∪(−2,∞)\left(-\infty,-3\right)\cup\left(-2,\infty\right)  

 (−∞,2]∪[3,∞)\left(-\infty,2\right]\cup\left[3,\infty\right)  

 (−∞,2)∪(3,∞)\left(-\infty,2\right)\cup\left(3,\infty\right)  

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 f:R→R+f(x)=2x+1 ise f−1(x)f:R\rightarrow R^+f\left(x\right)=2^{x+1}\ ise\ f^{-1}\left(x\right)  fonksiyonunu bulunuz

 (log⁡x2   −1)\left(\log_x2\ \ \ -1\right)  

 log⁡2(x−1)\log_2\left(x-1\right)  

 log⁡2x  +1\log_2x\ \ +1  

 −1+log⁡2x-1+\log_2x  

6.

FILL IN THE BLANKS QUESTION

1 min • 1 pt

 log⁡ 1100\log\ \frac{1}{100}  ifadesinin değerini bulun

(a)  

7.

FILL IN THE BLANKS QUESTION

1 min • 1 pt

 log⁡1000\log\sqrt{1000}  ifadesinin değerini bulun

(a)  

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