Maths4U Original · Short practice

Let \(\displaystyle a=\)\(10\), \(p = 1000000\), \(q = 1000\). 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 \(\displaystyle a=\)\(10\), \(p = 10000000\), \(q = 10000\). 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 \(\displaystyle a=\)\(10\), \(p = 10000000\), \(q = 10000\). 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 \(\displaystyle a=\)\(10\), \(p = 1000\), \(q = 10\). 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 \(\displaystyle a=\)\(10\), \(p = 1000\), \(q = 10\). 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 \(\displaystyle a=\)\(10\), \(p = 10000000\), \(q = 10\). 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 \(\displaystyle a=\)\(10\), \(p = 10000\), \(q = 100\). 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 \(\displaystyle a=\)\(10\), \(p = 100000\), \(q = 1000\). 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.