Logarithmic graphs, translations and inverse rules: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(f{\left(x \right)} = \log{\left(3 x - 57 \right)} + 5\), with \(\displaystyle a=3, h=19, b=5\).
Find the x-coordinate of the vertical asymptote.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Logarithmic graphs, translations and inverse rules: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(f{\left(x \right)} = 2 \log{\left(4 x - 80 \right)} + 6\), with \(\displaystyle a=4, h=20, b=6\).
Find the x-coordinate of the vertical asymptote.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Logarithmic graphs, translations and inverse rules: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(f{\left(x \right)} = 2 \log{\left(4 x - 80 \right)} + 6\), with \(\displaystyle a=4, h=20, b=6\).
Find the height where \(\displaystyle a(x-h)=1\).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Logarithmic graphs, translations and inverse rules: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(f{\left(x \right)} = 3 \log{\left(x - 21 \right)} + 2\), with \(\displaystyle a=1, h=21, b=2\).
Find the height where \(\displaystyle a(x-h)=1\).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Logarithmic graphs, translations and inverse rules: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(f{\left(x \right)} = 3 \log{\left(x - 21 \right)} + 2\), with \(\displaystyle a=1, h=21, b=2\).
Find the input whose output is b.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Logarithmic graphs, translations and inverse rules: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(f{\left(x \right)} = \log{\left(2 x - 44 \right)} + 3\), with \(\displaystyle a=2, h=22, b=3\).
Find the input whose output is b.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Logarithmic graphs, translations and inverse rules: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(f{\left(x \right)} = \log{\left(2 x - 44 \right)} + 3\), with \(\displaystyle a=2, h=22, b=3\).
Find the gradient where \(\displaystyle a(x-h)=1\).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Logarithmic graphs, translations and inverse rules: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(f{\left(x \right)} = 2 \log{\left(3 x - 69 \right)} + 4\), with \(\displaystyle a=3, h=23, b=4\).
Find the gradient where \(\displaystyle a(x-h)=1\).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.