Exponential equations and inequalities

1003044504

Level:

How many solutions does the following equation have?

5^{x} + 5^{x + 1} + 5^{x + 2} + 5^{x + 3} = 156

Exactly one solution

No solutions

Infinitely many solutions

Exactly two solutions

1003044505

Level:

Identify the solution of the equation.

2^{x - 1} - 7^{x - 3} = 2^{x - 2} + 2^{x - 3}

x = 3

The equation has no solution.

x = - 3

x = 0

1003044506

Level:

Which of the given numbers is the product of all the solutions of the following exponential equations?

\begin{aligned} 3^{x} + 3^{x + 2} & = 30 \\ 3^{x + 1} + 3^{x - 1} & = \frac{10}{9} \end{aligned}

- 1

0

1

2

1003044507

Level:

How many solutions does the following equation have?

2^{x + 2} + 3 \cdot 3^{x + 2} = 3^{x + 3} + 2 \cdot 2^{x + 1}

Infinitely many solutions

Exactly one solution

No solutions

Exactly two solutions

2000000302

Level:

Find the solution of the following equation.

{(\frac{2}{5})}^{x} = 6.25

x = - 2

x = 2

x = - 5

x = 5

2010008202

Level:

Identify the solution of the equation.

2^{x} + 2^{x + 2} + 2^{x + 4} = 84

x = 2

x = 1

x = 0

x = 4

2010008203

Level:

Identify the solution of the equation.

3^{x} + 3^{x + 1} + 3^{x + 3} = 93

x = 1

x = 2

x = 0

x = 4

2010008204

Level:

Identify the solution of the equation.

4^{x} + 2 \cdot 16^{x} - 1 = 0

x = - \frac{1}{2}

x = \frac{1}{2}

x = 0

x = 4

2010008205

Level:

Identify the solution of the equation.

3 \cdot 25^{x} - 2 \cdot 5^{x} - 1 = 0

x = 0

x = \frac{1}{2}

x = - \frac{1}{2}

x = 4

2010008213

Level:

Which of the given numbers is the product of all the solutions of the following exponential equations?

\begin{aligned} 3^{x + 1} - 3^{x} - 3^{x - 1} & = 15 \\ 3^{x + 2} - 3^{x} & = 72 \end{aligned}

4

- 1

1

2

Exponential equations and inequalities

1003044504

1003044505

1003044506

1003044507

2000000302

2010008202

2010008203

2010008204

2010008205

2010008213

Events

Akce

Interests

Zajímavosti

About portal

O portálu