Maths4U Original · Short practice

Let \(\displaystyle a=\)\(3\), \(p = 2187\), \(q = 81\). Work exactly, using index laws.

Find \(\displaystyle \log _{a} p\).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(\displaystyle a=\)\(4\), \(p = 64\), \(q = 4\). Work exactly, using index laws.

Find \(\displaystyle \log _{a} p\).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(\displaystyle a=\)\(4\), \(p = 64\), \(q = 4\). Work exactly, using index laws.

Find logₐ(pq).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(\displaystyle a=\)\(2\), \(p = 16\), \(q = 4\). Work exactly, using index laws.

Find logₐ(pq).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(\displaystyle a=\)\(2\), \(p = 16\), \(q = 4\). Work exactly, using index laws.

Find \(\displaystyle \log_{a} (\frac{p}{q})\).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(\displaystyle a=\)\(2\), \(p = 128\), \(q = 2\). Work exactly, using index laws.

Find \(\displaystyle \log_{a} (\frac{p}{q})\).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(\displaystyle a=\)\(3\), \(p = 243\), \(q = 27\). Work exactly, using index laws.

Find \(\displaystyle \log_{a} (\frac{p^{2}}{q})\).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(\displaystyle a=\)\(4\), \(p = 4096\), \(q = 256\). Work exactly, using index laws.

Find \(\displaystyle \log_{a} (\frac{p^{2}}{q})\).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.