Mavzular

Mavzular / Tenglamalar va funksiyalar

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Test: 10 ta savol, vaqt bilan

4 ta oson, 4 ta oʻrta, 2 ta qiyin. Tez va toʻgʻri javob — koʻproq ball.

Testni boshlash

Yoki quyida mashq qiling: variantni tanlang — javob va izoh chiqadi. Ball berilmaydi.

Oson · 10 ta

1.

Tenglamani yeching: 3x=93^{x} = 9

2.

Hisoblang: log⁡525\log_{5} 25

3.

log⁡3x=2\log_{3} x = 2 boʻlsa, xx ni toping.

4.

Tenglamani yeching: log⁡3(x−2)=3\log_{3}(x - 2) = 3

5.

Tenglamani yeching: 3x+2+3x=303^{x + 2} + 3^{x} = 30

6.

log⁡x125=3\log_{x} 125 = 3 boʻlsa, xx ni toping.

7.

Hisoblang: log⁡55+log⁡5125\log_{5} 5 + \log_{5} 125

8.

Tenglamani yeching: log⁡3x+log⁡33=2\log_{3} x + \log_{3} 3 = 2

9.

Tenglamani yeching: log⁡7(x−5)=log⁡7(3x−19)\log_{7}(x - 5) = \log_{7}(3x - 19)

10.

Hisoblang: 5log⁡535^{\log_{5} 3}

Oʻrta · 10 ta

1.

Hisoblang: log⁡51125\log_{5} \frac{1}{125}

2.

Tenglamani yeching: 32x+3=2433^{2x + 3} = 243

3.

Tenglamani yeching: log⁡2(2x−4)=3\log_{2}(2x - 4) = 3

4.

log⁡2x=−3\log_{2} x = -3 boʻlsa, xx ni toping.

5.

log⁡x19=−2\log_{x} \frac{1}{9} = -2 boʻlsa, xx ni toping.

6.

Tenglamani yeching: 5x+2+5x=6505^{x + 2} + 5^{x} = 650

7.

Tenglamani yeching: log⁡3x−log⁡37=2\log_{3} x - \log_{3} 7 = 2

8.

Hisoblang: log⁡363−log⁡37\log_{3} 63 - \log_{3} 7

9.

Hisoblang: 32+log⁡333^{2 + \log_{3} 3}

10.

Tenglamani yeching: log⁡3(x)=log⁡3(3x−14)\log_{3}(x) = \log_{3}(3x - 14)

Qiyin · 10 ta

1.

Tenglamani yeching: 27x=24327^{x} = 243

2.

Hisoblang: log⁡27243\log_{27} 243

3.

log⁡3(x2+17)=4\log_{3}(x^2 + 17) = 4 tenglamaning musbat ildizini toping.

4.

log⁡13x=−3\log_{\frac{1}{3}} x = -3 boʻlsa, xx ni toping.

5.

log⁡x3=12\log_{x} 3 = \frac{1}{2} boʻlsa, xx ni toping.

6.

Tenglamani yeching: 3x+2−3x=6483^{x + 2} - 3^{x} = 648

7.

Hisoblang: 2log⁡5250−log⁡525002\log_{5} 250 - \log_{5} 2500

8.

Tenglamani yeching: log⁡3x+log⁡3(x+6)=3\log_{3} x + \log_{3}(x + 6) = 3

9.

Tenglamani yeching: log⁡5(x2−32)=log⁡5(4x)\log_{5}(x^2 - 32) = \log_{5}(4x)

10.

Hisoblang: 9log⁡339^{\log_{3} 3}

Yordam