Logarithm Worksheet — Grade 10 (PDF)

This worksheet contains exercises on logarithms, structured into three difficulty tiers: direct evaluation, applying properties, and solving log equations. It's designed for in-class use or homework — print the PDF and solve on paper, then check your answers against the key on the last page.

Tier 1 — direct evaluation: ${\log }_{2}8$, ${\log }_{3}81$, ${\log }_5{\displaystyle \frac{1}{25}}$, etc.

Tier 2 — using properties: ${\log }_2(8\cdot 16)$, ${\log }_3{\displaystyle \frac{27}{9}}$, ${\log }_5{25}^3$.

Tier 3 — log equations: ${\log }_2(x)+{\log }_2(x-2)=3$, ${\log }_3(x+1)=2$.