Решите неравенство: 6 2 − 5 x ≤ 1 6^{2-5x}\le1 6 2 − 5 x ≤ 1

[ 2 5 ; + ∞ ) \left[\frac{2}{5};+\infty\right) [ 5 2 ; + ∞ )

( − ∞ ; 2 5 ] \left(-\infty;\frac{2}{5}\right] ( − ∞ ; 5 2 ]

[ 1 5 ; + ∞ ) \left[\frac{1}{5};+\infty\right) [ 5 1 ; + ∞ )

( − ∞ ; − 1 5 ] \left(-\infty;-\frac{1}{5}\right] ( − ∞ ; − 5 1 ]

Решите неравенство: 2 3 + x > 4 2 x 2^{3+x}>4^{2x} 2 3 + x > 4 2 x

( − ∞ ; 1 ) \left(-\infty;1\right) ( − ∞ ; 1 )

( 1 ; + ∞ ) \left(1;+\infty\right) ( 1 ; + ∞ )

( − 1 ; + ∞ ) \left(-1;+\infty\right) ( − 1 ; + ∞ )

( − ∞ ; 3 ) \left(-\infty;3\right) ( − ∞ ; 3 )

Показательные уравнения и неравенства

Authored by Katerina Kostina

Mathematics, Special Education

10th - 11th Grade

Used 18+ times

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FILL IN THE BLANKS QUESTION

5 mins • 1 pt

Решите уравнение: $3^x\cdot5^x=15$

(a)

FILL IN THE BLANKS QUESTION

5 mins • 1 pt

Решите уравнение: $\left(\frac{7}{3}\right)^{x-5}=\left(\frac{1}{9}\right)^{x-5}$

(a)

FILL IN THE BLANKS QUESTION

5 mins • 1 pt

Решите уравнение: $9^{1-4x}=\frac{1}{81}$

(a)

FILL IN THE BLANKS QUESTION

5 mins • 1 pt

Решите уравнение: $7^{x+1}-3\cdot7^x=28$

(a)

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Решите неравенство: $6^{2-5x}\le1$

$\left(-\infty;\frac{2}{5}\right]$

$\left[\frac{2}{5};+\infty\right)$

$\left[\frac{1}{5};+\infty\right)$

$\left(-\infty;-\frac{1}{5}\right]$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Решите неравенство: $2^{3+x}>4^{2x}$

$\left(-\infty;1\right)$

$\left(1;+\infty\right)$

$\left(-1;+\infty\right)$

$\left(-\infty;3\right)$

FILL IN THE BLANKS QUESTION

5 mins • 2 pts

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Показательные уравнения и неравенства

Решите уравнение: 3^x\cdot5^x=153x⋅5x=15 (a)

Решите уравнение: (73)x−5=(19)x−5\left(\frac{7}{3}\right)^{x-5}=\left(\frac{1}{9}\right)^{x-5}(37​)x−5=(91​)x−5 (a)

Решите уравнение: 91−4x=1819^{1-4x}=\frac{1}{81}91−4x=811​ (a)

Решите уравнение: 7x+1−3⋅7x=287^{x+1}-3\cdot7^x=287x+1−3⋅7x=28 (a)

Решите неравенство: 62−5x≤16^{2-5x}\le162−5x≤1

Решите неравенство: 23+x>42x2^{3+x}>4^{2x}23+x>42x

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Discover more resources for Mathematics

Решите уравнение: $3^x\cdot5^x=15$

(a)

Решите уравнение: $\left(\frac{7}{3}\right)^{x-5}=\left(\frac{1}{9}\right)^{x-5}$

(a)

Решите уравнение: $9^{1-4x}=\frac{1}{81}$

(a)

Решите уравнение: $7^{x+1}-3\cdot7^x=28$

(a)

Решите неравенство: $6^{2-5x}\le1$

Решите неравенство: $2^{3+x}>4^{2x}$