Mathematics · Grades 11–12
Logarithms · Formula sheet
Rules, conditions and small examples in one printable reference.
Remember this
Logarithms as exponents
A logarithm asks which exponent produces the argument.
log_b(a) = x ↔ bˣ = a; a > 0, b > 0, b ≠ 1
6^3 = 216
Logarithms of products
For real logarithms: b > 0, b ≠ 1, u > 0 and v > 0.
log_b(uv) = log_b(u) + log_b(v)
log_4(1024) + log_4(64) = 5 + 3 = 8
Further reading and review references
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Learning preview · teacher review required. Grade bands are approximate, not official curriculum alignment.