Logarithmic equations and valid roots: check 1
Difficulty: ★★☆Maths4U Original · Short practice
Solve \(\log_{4}(x - 21)+\log_{4}(x - 18)=\log_{4}(10)\). Here h=21.
Find the valid solution x.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Logarithmic equations and valid roots: review variant 1
Difficulty: ★★☆Maths4U Original · Short practice
Solve \(\log_{2}(x - 22)+\log_{2}(x - 21)=\log_{2}(12)\). Here h=22.
Find the valid solution x.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Logarithmic equations and valid roots: check 2
Difficulty: ★★☆Maths4U Original · Short practice
Solve \(\log_{2}(x - 22)+\log_{2}(x - 21)=\log_{2}(12)\). Here h=22.
Find the rejected algebraic root.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Logarithmic equations and valid roots: review variant 2
Difficulty: ★★☆Maths4U Original · Short practice
Solve \(\log_{3}(x - 23)+\log_{3}(x - 21)=\log_{3}(24)\). Here h=23.
Find the rejected algebraic root.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Logarithmic equations and valid roots: check 3
Difficulty: ★★☆Maths4U Original · Short practice
Solve \(\log_{3}(x - 23)+\log_{3}(x - 21)=\log_{3}(24)\). Here h=23.
Find x−h at the valid solution.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Logarithmic equations and valid roots: review variant 3
Difficulty: ★★☆Maths4U Original · Short practice
Solve \(\log_{4}(x - 24)+\log_{4}(x - 21)=\log_{4}(40)\). Here h=24.
Find x−h at the valid solution.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Logarithmic equations and valid roots: check 4
Difficulty: ★★☆Maths4U Original · Short practice
Solve \(\log_{4}(x - 24)+\log_{4}(x - 21)=\log_{4}(40)\). Here h=24.
Find the product of the two logarithm arguments at the valid solution.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Logarithmic equations and valid roots: review variant 4
Difficulty: ★★☆Maths4U Original · Short practice
Solve \(\log_{2}(x - 25)+\log_{2}(x - 24)=\log_{2}(6)\). Here h=25.
Find the product of the two logarithm arguments at the valid solution.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.