Exponential equations reducible to quadratics: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
Solve \(2^{2x}-34(2^x)+64=0\).
Find the smaller solution 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 equations reducible to quadratics: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
Solve \(3^{2x}-252(3^x)+2187=0\).
Find the smaller solution 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 equations reducible to quadratics: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
Solve \(3^{2x}-252(3^x)+2187=0\).
Find the larger solution 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 equations reducible to quadratics: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
Solve \(4^{2x}-16448(4^x)+1048576=0\).
Find the larger solution 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 equations reducible to quadratics: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
Solve \(4^{2x}-16448(4^x)+1048576=0\).
Find the product of the two x-solutions.
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 equations reducible to quadratics: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
Solve \(2^{2x}-18(2^x)+32=0\).
Find the product of the two x-solutions.
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 equations reducible to quadratics: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
Solve \(2^{2x}-18(2^x)+32=0\).
Find the difference between the larger and smaller x-solutions.
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 equations reducible to quadratics: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
Solve \(3^{2x}-738(3^x)+6561=0\).
Find the difference between the larger and smaller x-solutions.
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.