2000000501
Level:
C
The set of all solutions of the inequality \(0.7^{-x} > 0.7^{4+x}\) is the interval:
\( (-2 ;\infty)\)
\( (-\infty;2)\)
\( (2 ;\infty)\)
\( (-\infty ;-2)\)
Exponential equations and inequalities
2000000302
Level:
A
Find the solution of the following equation.
\[
\left( \frac{2}{5}\right)^x = 6.25
\]
\( x=-2\)
\( x=2 \)
\( x=-5 \)
\( x=5\)
2000000301
Level:
C
Find the value of the parameter \( m \) so that the solution set of the inequality
\[
\left(\frac{1}{7}\right)^x \leq m
\]
is the interval \([ 2;\infty)\).
\( m = \frac{1}{49} \)
\( m = 49\)
\(m = 2\)
\( m=14\)
Exponential Equations -- Substitution Method
Submitted by ladislav.foltyn on Sat, 03/02/2019 - 14:54Question:
How many solutions do the following equations have?
Basic Exponential Inequalities II
Submitted by ladislav.foltyn on Sat, 02/23/2019 - 14:22Question:
Find the solution set of each of the given inequalities.
Basic Exponential Inequalities I
Submitted by ladislav.foltyn on Mon, 12/10/2018 - 15:451103064107
Level:
C
Decide which of the following diagrams shows the solution set of the given inequality.
\[ \left(\frac13\right)^{x(x+1)} \geq\left(\frac1{27}\right)^2 \]
1003064106
Level:
C
Find the solution of the following inequality.
\[ 5^x\geq3^x \]
\( x\in[0;\infty) \)
\( x\in[1;\infty) \)
\( x\in\{0\} \)
no solution
1103064105
Level:
C
Decide which of the following diagrams shows the solution set of the given inequality.
\[ 16\cdot4^{2x-3} < 64^{x+1} \]
1003064104
Level:
C
How many solutions in the set of positive integers does the following inequality have?
\[ \left(\frac34\right)^{x+1}\leq\left(\frac43\right)^{3-2x} \]
\( 4 \)
\( 5 \)
\( 1 \)
\( 0 \)