Exponential inequalities and base direction: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
Let \(\displaystyle a=\)\(\displaystyle \frac{1}{2}\), \(\displaystyle p=1, h=16, k=2, q=4\). Solve \(a^{p(x-h)}>a^k\).
Find the boundary input x.
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.
Exponential inequalities and base direction: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
Let \(\displaystyle a=\)\(2\), \(\displaystyle p=2, h=17, k=3, q=1\). Solve \(a^{p(x-h)}>a^k\).
Find the boundary input x.
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.
Exponential inequalities and base direction: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
Let \(\displaystyle a=\)\(2\), \(\displaystyle p=2, h=17, k=3, q=1\). Solve \(a^{p(x-h)}>a^k\).
Which is the solution of the stated strict inequality?
Choose one answer.
Exponential inequalities and base direction: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
Let \(\displaystyle a=\)\(\displaystyle \frac{1}{2}\), \(\displaystyle p=3, h=18, k=4, q=2\). Solve \(a^{p(x-h)}>a^k\).
Which is the solution of the stated strict inequality?
Choose one answer.
Exponential inequalities and base direction: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
Let \(\displaystyle a=\)\(\displaystyle \frac{1}{2}\), \(\displaystyle p=3, h=18, k=4, q=2\). Solve \(a^{p(x-h)}>a^k\).
Find the boundary input for the level \(\displaystyle a^{k+q}\).
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.
Exponential inequalities and base direction: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
Let \(\displaystyle a=\)\(2\), \(\displaystyle p=1, h=19, k=5, q=3\). Solve \(a^{p(x-h)}>a^k\).
Find the boundary input for the level \(\displaystyle a^{k+q}\).
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.
Exponential inequalities and base direction: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
Let \(\displaystyle a=\)\(2\), \(\displaystyle p=1, h=19, k=5, q=3\). Solve \(a^{p(x-h)}>a^k\).
Find the width of the input interval between the two level boundaries.
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.
Exponential inequalities and base direction: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
Let \(\displaystyle a=\)\(\displaystyle \frac{1}{2}\), \(\displaystyle p=2, h=20, k=6, q=4\). Solve \(a^{p(x-h)}>a^k\).
Find the width of the input interval between the two level boundaries.
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.