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: $\log_2 8$, $\log_3 81$, $\log_5 \dfrac{1}{25}$, etc.

Tier 2 — using properties: $\log_2(8 \cdot 16)$, $\log_3 \dfrac{27}{9}$, $\log_5 25^3$.

Tier 3 — log equations: $\log_2(x) + \log_2(x-2) = 3$, $\log_3(x+1) = 2$.