LogarithmsA log is an exponent — reading the definition backwards makes…10th Gradelog_b(x) asks: what power of b gives x? Alogarithm is simply an exponent.log_b(x) = y ⟺ bʸ = xlog₂(8)3Because 2³ = 8.log₁₀(1000)3Because 10³ = 1000.log(ab)log a + log bMultiplying inside becomes adding outside.log(aⁿ)n log aThe power comes out to the front.THE COMMON MISTAKE✗ log(a + b) = log a + log b✓ log(ab) = log a + log bThe product rule applies to multiplication inside, never addition.You cannot take the log of zero or of a negative. The domainrestriction matters.Logarithmswww.littleactivity.com

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Math · 10th Grade

Logarithms

A log is an exponent — reading the definition backwards makes everything easier.

How to use it

Rewrite every log as an exponential before doing anything else.

Free · print-ready PDF · US Letter and A4

Grade
10th Grade
Ages
15–16
Subject
Math
Pages
1

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